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Finding the Fourth Proportional to 78,489.60, 117,724.36 and 25,886.04

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Solution

The fourth proportional to 78,489.60, 117,724.36 and 25,886.04 is: 38,825.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,489.60 : 117,724.36 = 25,886.04 : x
  2. Step 2: Convert to fraction form
    78,489.60/117,724.36 = 25,886.04/x
  3. Step 3: Cross multiply
    78,489.60x = 117,724.36 × 25,886.04
  4. Step 4: Simplify right side
    78,489.60x = 3,047,417,491.93
  5. Step 5: Solve for x
    x = 3,047,417,491.93/78,489.60
  6. Step 6: Final answer
    x = 38,825.75

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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.