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Finding the Fourth Proportional to 157,858.68, 217,852.76 and 89,877

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Solution

The fourth proportional to 157,858.68, 217,852.76 and 89,877 is: 124,034.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,858.68 : 217,852.76 = 89,877 : x
  2. Step 2: Convert to fraction form
    157,858.68/217,852.76 = 89,877/x
  3. Step 3: Cross multiply
    157,858.68x = 217,852.76 × 89,877
  4. Step 4: Simplify right side
    157,858.68x = 19,579,952,510.52
  5. Step 5: Solve for x
    x = 19,579,952,510.52/157,858.68
  6. Step 6: Final answer
    x = 124,034.69

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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.