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Finding the Fourth Proportional to 157,725.10, 217,665.80 and 86,108.95

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Solution

The fourth proportional to 157,725.10, 217,665.80 and 86,108.95 is: 118,833.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,725.10 : 217,665.80 = 86,108.95 : x
  2. Step 2: Convert to fraction form
    157,725.10/217,665.80 = 86,108.95/x
  3. Step 3: Cross multiply
    157,725.10x = 217,665.80 × 86,108.95
  4. Step 4: Simplify right side
    157,725.10x = 18,742,973,488.91
  5. Step 5: Solve for x
    x = 18,742,973,488.91/157,725.10
  6. Step 6: Final answer
    x = 118,833.17

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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.