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Finding the Fourth Proportional to 86,374.30, 129,599.07 and 30,254.74

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Solution

The fourth proportional to 86,374.30, 129,599.07 and 30,254.74 is: 45,395.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,374.30 : 129,599.07 = 30,254.74 : x
  2. Step 2: Convert to fraction form
    86,374.30/129,599.07 = 30,254.74/x
  3. Step 3: Cross multiply
    86,374.30x = 129,599.07 × 30,254.74
  4. Step 4: Simplify right side
    86,374.30x = 3,920,986,167.09
  5. Step 5: Solve for x
    x = 3,920,986,167.09/86,374.30
  6. Step 6: Final answer
    x = 45,395.29

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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.