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Finding the Fourth Proportional to 77,158.56, 106,459.32 and 45,321.24

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Solution

The fourth proportional to 77,158.56, 106,459.32 and 45,321.24 is: 62,531.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,158.56 : 106,459.32 = 45,321.24 : x
  2. Step 2: Convert to fraction form
    77,158.56/106,459.32 = 45,321.24/x
  3. Step 3: Cross multiply
    77,158.56x = 106,459.32 × 45,321.24
  4. Step 4: Simplify right side
    77,158.56x = 4,824,868,391.96
  5. Step 5: Solve for x
    x = 4,824,868,391.96/77,158.56
  6. Step 6: Final answer
    x = 62,531.86

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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.