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Finding the Fourth Proportional to 114,354.32, 157,885.96 and 71,399.20

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Solution

The fourth proportional to 114,354.32, 157,885.96 and 71,399.20 is: 98,578.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,354.32 : 157,885.96 = 71,399.20 : x
  2. Step 2: Convert to fraction form
    114,354.32/157,885.96 = 71,399.20/x
  3. Step 3: Cross multiply
    114,354.32x = 157,885.96 × 71,399.20
  4. Step 4: Simplify right side
    114,354.32x = 11,272,931,235.23
  5. Step 5: Solve for x
    x = 11,272,931,235.23/114,354.32
  6. Step 6: Final answer
    x = 98,578.97

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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.