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Finding the Fourth Proportional to 157,878.24, 217,871.84 and 89,891.76

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Solution

The fourth proportional to 157,878.24, 217,871.84 and 89,891.76 is: 124,050.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,878.24 : 217,871.84 = 89,891.76 : x
  2. Step 2: Convert to fraction form
    157,878.24/217,871.84 = 89,891.76/x
  3. Step 3: Cross multiply
    157,878.24x = 217,871.84 × 89,891.76
  4. Step 4: Simplify right side
    157,878.24x = 19,584,883,152.04
  5. Step 5: Solve for x
    x = 19,584,883,152.04/157,878.24
  6. Step 6: Final answer
    x = 124,050.55

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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.