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Finding the Fourth Proportional to 102,453.65, 141,382.32 and 59,434

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Solution

The fourth proportional to 102,453.65, 141,382.32 and 59,434 is: 82,016.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,453.65 : 141,382.32 = 59,434 : x
  2. Step 2: Convert to fraction form
    102,453.65/141,382.32 = 59,434/x
  3. Step 3: Cross multiply
    102,453.65x = 141,382.32 × 59,434
  4. Step 4: Simplify right side
    102,453.65x = 8,402,916,806.88
  5. Step 5: Solve for x
    x = 8,402,916,806.88/102,453.65
  6. Step 6: Final answer
    x = 82,016.76

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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.