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Finding the Fourth Proportional to 113,157.75, 169,512.46 and 77,531.52

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Solution

The fourth proportional to 113,157.75, 169,512.46 and 77,531.52 is: 116,143.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,157.75 : 169,512.46 = 77,531.52 : x
  2. Step 2: Convert to fraction form
    113,157.75/169,512.46 = 77,531.52/x
  3. Step 3: Cross multiply
    113,157.75x = 169,512.46 × 77,531.52
  4. Step 4: Simplify right side
    113,157.75x = 13,142,559,359.74
  5. Step 5: Solve for x
    x = 13,142,559,359.74/113,157.75
  6. Step 6: Final answer
    x = 116,143.69

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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.