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Finding the Fourth Proportional to 78,219,228.60, 109,733,668.20 and 78,219,228.60

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Solution

The fourth proportional to 78,219,228.60, 109,733,668.20 and 78,219,228.60 is: 109,733,668.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,219,228.60 : 109,733,668.20 = 78,219,228.60 : x
  2. Step 2: Convert to fraction form
    78,219,228.60/109,733,668.20 = 78,219,228.60/x
  3. Step 3: Cross multiply
    78,219,228.60x = 109,733,668.20 × 78,219,228.60
  4. Step 4: Simplify right side
    78,219,228.60x = 8,583,282,878,052,350
  5. Step 5: Solve for x
    x = 8,583,282,878,052,350/78,219,228.60
  6. Step 6: Final answer
    x = 109,733,668.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.