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Finding the Fourth Proportional to 136,123.71, 187,842.99 and 75,693.05

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Solution

The fourth proportional to 136,123.71, 187,842.99 and 75,693.05 is: 104,452.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,123.71 : 187,842.99 = 75,693.05 : x
  2. Step 2: Convert to fraction form
    136,123.71/187,842.99 = 75,693.05/x
  3. Step 3: Cross multiply
    136,123.71x = 187,842.99 × 75,693.05
  4. Step 4: Simplify right side
    136,123.71x = 14,218,409,303.83
  5. Step 5: Solve for x
    x = 14,218,409,303.83/136,123.71
  6. Step 6: Final answer
    x = 104,452.11

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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.