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Finding the Fourth Proportional to 114,402.34, 157,862.49 and 66,645.70

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Solution

The fourth proportional to 114,402.34, 157,862.49 and 66,645.70 is: 91,963.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,402.34 : 157,862.49 = 66,645.70 : x
  2. Step 2: Convert to fraction form
    114,402.34/157,862.49 = 66,645.70/x
  3. Step 3: Cross multiply
    114,402.34x = 157,862.49 × 66,645.70
  4. Step 4: Simplify right side
    114,402.34x = 10,520,856,149.79
  5. Step 5: Solve for x
    x = 10,520,856,149.79/114,402.34
  6. Step 6: Final answer
    x = 91,963.64

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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.