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Finding the Fourth Proportional to 59,406, 81,980.28 and 32,915.12

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Solution

The fourth proportional to 59,406, 81,980.28 and 32,915.12 is: 45,422.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,406 : 81,980.28 = 32,915.12 : x
  2. Step 2: Convert to fraction form
    59,406/81,980.28 = 32,915.12/x
  3. Step 3: Cross multiply
    59,406x = 81,980.28 × 32,915.12
  4. Step 4: Simplify right side
    59,406x = 2,698,390,753.83
  5. Step 5: Solve for x
    x = 2,698,390,753.83/59,406
  6. Step 6: Final answer
    x = 45,422.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.