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Finding the Fourth Proportional to 187,369.68, 258,567.12 and 102,486

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Solution

The fourth proportional to 187,369.68, 258,567.12 and 102,486 is: 141,429.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,369.68 : 258,567.12 = 102,486 : x
  2. Step 2: Convert to fraction form
    187,369.68/258,567.12 = 102,486/x
  3. Step 3: Cross multiply
    187,369.68x = 258,567.12 × 102,486
  4. Step 4: Simplify right side
    187,369.68x = 26,499,509,860.32
  5. Step 5: Solve for x
    x = 26,499,509,860.32/187,369.68
  6. Step 6: Final answer
    x = 141,429.02

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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.