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Finding the Fourth Proportional to 78,250.48, 117,386.88 and 25,664.08

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Solution

The fourth proportional to 78,250.48, 117,386.88 and 25,664.08 is: 38,499.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,250.48 : 117,386.88 = 25,664.08 : x
  2. Step 2: Convert to fraction form
    78,250.48/117,386.88 = 25,664.08/x
  3. Step 3: Cross multiply
    78,250.48x = 117,386.88 × 25,664.08
  4. Step 4: Simplify right side
    78,250.48x = 3,012,626,279.27
  5. Step 5: Solve for x
    x = 3,012,626,279.27/78,250.48
  6. Step 6: Final answer
    x = 38,499.78

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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.