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Finding the Fourth Proportional to 187,502.96, 258,760.68 and 102,620

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Solution

The fourth proportional to 187,502.96, 258,760.68 and 102,620 is: 141,619.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,502.96 : 258,760.68 = 102,620 : x
  2. Step 2: Convert to fraction form
    187,502.96/258,760.68 = 102,620/x
  3. Step 3: Cross multiply
    187,502.96x = 258,760.68 × 102,620
  4. Step 4: Simplify right side
    187,502.96x = 26,554,020,981.60
  5. Step 5: Solve for x
    x = 26,554,020,981.60/187,502.96
  6. Step 6: Final answer
    x = 141,619.21

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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.