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Finding the Fourth Proportional to 78,503.40, 117,582.30 and 69,748.20

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Solution

The fourth proportional to 78,503.40, 117,582.30 and 69,748.20 is: 104,468.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,503.40 : 117,582.30 = 69,748.20 : x
  2. Step 2: Convert to fraction form
    78,503.40/117,582.30 = 69,748.20/x
  3. Step 3: Cross multiply
    78,503.40x = 117,582.30 × 69,748.20
  4. Step 4: Simplify right side
    78,503.40x = 8,201,153,776.86
  5. Step 5: Solve for x
    x = 8,201,153,776.86/78,503.40
  6. Step 6: Final answer
    x = 104,468.77

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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.