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Finding the Fourth Proportional to 157,148.76, 216,870.84 and 89,166

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Solution

The fourth proportional to 157,148.76, 216,870.84 and 89,166 is: 123,052.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,148.76 : 216,870.84 = 89,166 : x
  2. Step 2: Convert to fraction form
    157,148.76/216,870.84 = 89,166/x
  3. Step 3: Cross multiply
    157,148.76x = 216,870.84 × 89,166
  4. Step 4: Simplify right side
    157,148.76x = 19,337,505,319.44
  5. Step 5: Solve for x
    x = 19,337,505,319.44/157,148.76
  6. Step 6: Final answer
    x = 123,052.23

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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.