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Finding the Fourth Proportional to 135,510.71, 186,998.47 and 74,256.53

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Solution

The fourth proportional to 135,510.71, 186,998.47 and 74,256.53 is: 102,470.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,510.71 : 186,998.47 = 74,256.53 : x
  2. Step 2: Convert to fraction form
    135,510.71/186,998.47 = 74,256.53/x
  3. Step 3: Cross multiply
    135,510.71x = 186,998.47 × 74,256.53
  4. Step 4: Simplify right side
    135,510.71x = 13,885,857,846.43
  5. Step 5: Solve for x
    x = 13,885,857,846.43/135,510.71
  6. Step 6: Final answer
    x = 102,470.56

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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.