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Finding the Fourth Proportional to 187,898.48, 259,299.84 and 103,013.76

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Solution

The fourth proportional to 187,898.48, 259,299.84 and 103,013.76 is: 142,158.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,898.48 : 259,299.84 = 103,013.76 : x
  2. Step 2: Convert to fraction form
    187,898.48/259,299.84 = 103,013.76/x
  3. Step 3: Cross multiply
    187,898.48x = 259,299.84 × 103,013.76
  4. Step 4: Simplify right side
    187,898.48x = 26,711,451,485.80
  5. Step 5: Solve for x
    x = 26,711,451,485.80/187,898.48
  6. Step 6: Final answer
    x = 142,158.95

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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.