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Finding the Fourth Proportional to 145,475.78, 218,024.48 and 81,431.30

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Solution

The fourth proportional to 145,475.78, 218,024.48 and 81,431.30 is: 122,041.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,475.78 : 218,024.48 = 81,431.30 : x
  2. Step 2: Convert to fraction form
    145,475.78/218,024.48 = 81,431.30/x
  3. Step 3: Cross multiply
    145,475.78x = 218,024.48 × 81,431.30
  4. Step 4: Simplify right side
    145,475.78x = 17,754,017,586.86
  5. Step 5: Solve for x
    x = 17,754,017,586.86/145,475.78
  6. Step 6: Final answer
    x = 122,041.06

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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.