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Finding the Fourth Proportional to 310,753.44, 466,128.83 and 86,113.23

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Solution

The fourth proportional to 310,753.44, 466,128.83 and 86,113.23 is: 129,169.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,753.44 : 466,128.83 = 86,113.23 : x
  2. Step 2: Convert to fraction form
    310,753.44/466,128.83 = 86,113.23/x
  3. Step 3: Cross multiply
    310,753.44x = 466,128.83 × 86,113.23
  4. Step 4: Simplify right side
    310,753.44x = 40,139,859,641.75
  5. Step 5: Solve for x
    x = 40,139,859,641.75/310,753.44
  6. Step 6: Final answer
    x = 129,169.48

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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.