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Finding the Fourth Proportional to 310,036.80, 465,055.20 and 85,431.90

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Solution

The fourth proportional to 310,036.80, 465,055.20 and 85,431.90 is: 128,147.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,036.80 : 465,055.20 = 85,431.90 : x
  2. Step 2: Convert to fraction form
    310,036.80/465,055.20 = 85,431.90/x
  3. Step 3: Cross multiply
    310,036.80x = 465,055.20 × 85,431.90
  4. Step 4: Simplify right side
    310,036.80x = 39,730,549,340.88
  5. Step 5: Solve for x
    x = 39,730,549,340.88/310,036.80
  6. Step 6: Final answer
    x = 128,147.85

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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.