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Finding the Fourth Proportional to 228,051.60, 342,150.30 and 78,387.90

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Solution

The fourth proportional to 228,051.60, 342,150.30 and 78,387.90 is: 117,606.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,051.60 : 342,150.30 = 78,387.90 : x
  2. Step 2: Convert to fraction form
    228,051.60/342,150.30 = 78,387.90/x
  3. Step 3: Cross multiply
    228,051.60x = 342,150.30 × 78,387.90
  4. Step 4: Simplify right side
    228,051.60x = 26,820,443,501.37
  5. Step 5: Solve for x
    x = 26,820,443,501.37/228,051.60
  6. Step 6: Final answer
    x = 117,606.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.