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Finding the Fourth Proportional to 187,167.80, 258,287.42 and 102,285.46

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Solution

The fourth proportional to 187,167.80, 258,287.42 and 102,285.46 is: 141,151.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,167.80 : 258,287.42 = 102,285.46 : x
  2. Step 2: Convert to fraction form
    187,167.80/258,287.42 = 102,285.46/x
  3. Step 3: Cross multiply
    187,167.80x = 258,287.42 × 102,285.46
  4. Step 4: Simplify right side
    187,167.80x = 26,419,047,566.91
  5. Step 5: Solve for x
    x = 26,419,047,566.91/187,167.80
  6. Step 6: Final answer
    x = 141,151.67

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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.