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Finding the Fourth Proportional to 78,176.80, 107,884.14 and 45,905.20

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Solution

The fourth proportional to 78,176.80, 107,884.14 and 45,905.20 is: 63,349.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,176.80 : 107,884.14 = 45,905.20 : x
  2. Step 2: Convert to fraction form
    78,176.80/107,884.14 = 45,905.20/x
  3. Step 3: Cross multiply
    78,176.80x = 107,884.14 × 45,905.20
  4. Step 4: Simplify right side
    78,176.80x = 4,952,443,023.53
  5. Step 5: Solve for x
    x = 4,952,443,023.53/78,176.80
  6. Step 6: Final answer
    x = 63,349.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.