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Finding the Fourth Proportional to 310,761.63, 466,165.95 and 86,119.47

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Solution

The fourth proportional to 310,761.63, 466,165.95 and 86,119.47 is: 129,185.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,761.63 : 466,165.95 = 86,119.47 : x
  2. Step 2: Convert to fraction form
    310,761.63/466,165.95 = 86,119.47/x
  3. Step 3: Cross multiply
    310,761.63x = 466,165.95 × 86,119.47
  4. Step 4: Simplify right side
    310,761.63x = 40,145,964,546.05
  5. Step 5: Solve for x
    x = 40,145,964,546.05/310,761.63
  6. Step 6: Final answer
    x = 129,185.72

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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.