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Finding the Fourth Proportional to 114,427, 157,909.26 and 64,142.20

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Solution

The fourth proportional to 114,427, 157,909.26 and 64,142.20 is: 88,516.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,427 : 157,909.26 = 64,142.20 : x
  2. Step 2: Convert to fraction form
    114,427/157,909.26 = 64,142.20/x
  3. Step 3: Cross multiply
    114,427x = 157,909.26 × 64,142.20
  4. Step 4: Simplify right side
    114,427x = 10,128,647,336.77
  5. Step 5: Solve for x
    x = 10,128,647,336.77/114,427
  6. Step 6: Final answer
    x = 88,516.24

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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.