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Finding the Fourth Proportional to 310,785.81, 466,132.57 and 86,122.81

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Solution

The fourth proportional to 310,785.81, 466,132.57 and 86,122.81 is: 129,171.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,785.81 : 466,132.57 = 86,122.81 : x
  2. Step 2: Convert to fraction form
    310,785.81/466,132.57 = 86,122.81/x
  3. Step 3: Cross multiply
    310,785.81x = 466,132.57 × 86,122.81
  4. Step 4: Simplify right side
    310,785.81x = 40,144,648,595.97
  5. Step 5: Solve for x
    x = 40,144,648,595.97/310,785.81
  6. Step 6: Final answer
    x = 129,171.44

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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.