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Finding the Fourth Proportional to 157,815.69, 217,785.65 and 86,195.88

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Solution

The fourth proportional to 157,815.69, 217,785.65 and 86,195.88 is: 118,950.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,815.69 : 217,785.65 = 86,195.88 : x
  2. Step 2: Convert to fraction form
    157,815.69/217,785.65 = 86,195.88/x
  3. Step 3: Cross multiply
    157,815.69x = 217,785.65 × 86,195.88
  4. Step 4: Simplify right side
    157,815.69x = 18,772,224,953.66
  5. Step 5: Solve for x
    x = 18,772,224,953.66/157,815.69
  6. Step 6: Final answer
    x = 118,950.31

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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.