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Finding the Fourth Proportional to 186,458.10, 279,687.15 and 86,585.10

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Solution

The fourth proportional to 186,458.10, 279,687.15 and 86,585.10 is: 129,877.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,458.10 : 279,687.15 = 86,585.10 : x
  2. Step 2: Convert to fraction form
    186,458.10/279,687.15 = 86,585.10/x
  3. Step 3: Cross multiply
    186,458.10x = 279,687.15 × 86,585.10
  4. Step 4: Simplify right side
    186,458.10x = 24,216,739,851.47
  5. Step 5: Solve for x
    x = 24,216,739,851.47/186,458.10
  6. Step 6: Final answer
    x = 129,877.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.