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Finding the Fourth Proportional to 309,642, 464,541.06 and 88,026

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Solution

The fourth proportional to 309,642, 464,541.06 and 88,026 is: 132,061.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,642 : 464,541.06 = 88,026 : x
  2. Step 2: Convert to fraction form
    309,642/464,541.06 = 88,026/x
  3. Step 3: Cross multiply
    309,642x = 464,541.06 × 88,026
  4. Step 4: Simplify right side
    309,642x = 40,891,691,347.56
  5. Step 5: Solve for x
    x = 40,891,691,347.56/309,642
  6. Step 6: Final answer
    x = 132,061.19

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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.