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Finding the Fourth Proportional to 157,682.81, 217,603.05 and 86,064.50

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Solution

The fourth proportional to 157,682.81, 217,603.05 and 86,064.50 is: 118,769.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,682.81 : 217,603.05 = 86,064.50 : x
  2. Step 2: Convert to fraction form
    157,682.81/217,603.05 = 86,064.50/x
  3. Step 3: Cross multiply
    157,682.81x = 217,603.05 × 86,064.50
  4. Step 4: Simplify right side
    157,682.81x = 18,727,897,696.73
  5. Step 5: Solve for x
    x = 18,727,897,696.73/157,682.81
  6. Step 6: Final answer
    x = 118,769.43

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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.