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Finding the Fourth Proportional to 157,187.32, 216,918.52 and 85,567.88

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Solution

The fourth proportional to 157,187.32, 216,918.52 and 85,567.88 is: 118,083.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,187.32 : 216,918.52 = 85,567.88 : x
  2. Step 2: Convert to fraction form
    157,187.32/216,918.52 = 85,567.88/x
  3. Step 3: Cross multiply
    157,187.32x = 216,918.52 × 85,567.88
  4. Step 4: Simplify right side
    157,187.32x = 18,561,257,889.14
  5. Step 5: Solve for x
    x = 18,561,257,889.14/157,187.32
  6. Step 6: Final answer
    x = 118,083.68

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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.