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Finding the Fourth Proportional to 85,884.34, 128,695.13 and 45,909.01

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Solution

The fourth proportional to 85,884.34, 128,695.13 and 45,909.01 is: 68,793.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,884.34 : 128,695.13 = 45,909.01 : x
  2. Step 2: Convert to fraction form
    85,884.34/128,695.13 = 45,909.01/x
  3. Step 3: Cross multiply
    85,884.34x = 128,695.13 × 45,909.01
  4. Step 4: Simplify right side
    85,884.34x = 5,908,266,010.12
  5. Step 5: Solve for x
    x = 5,908,266,010.12/85,884.34
  6. Step 6: Final answer
    x = 68,793.29

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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.