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Finding the Fourth Proportional to 157,382, 217,187.16 and 86,726

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Solution

The fourth proportional to 157,382, 217,187.16 and 86,726 is: 119,681.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,382 : 217,187.16 = 86,726 : x
  2. Step 2: Convert to fraction form
    157,382/217,187.16 = 86,726/x
  3. Step 3: Cross multiply
    157,382x = 217,187.16 × 86,726
  4. Step 4: Simplify right side
    157,382x = 18,835,773,638.16
  5. Step 5: Solve for x
    x = 18,835,773,638.16/157,382
  6. Step 6: Final answer
    x = 119,681.88

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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.