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Finding the Fourth Proportional to 52,542.40, 78,820.80 and 17,478.40

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Solution

The fourth proportional to 52,542.40, 78,820.80 and 17,478.40 is: 26,220.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,542.40 : 78,820.80 = 17,478.40 : x
  2. Step 2: Convert to fraction form
    52,542.40/78,820.80 = 17,478.40/x
  3. Step 3: Cross multiply
    52,542.40x = 78,820.80 × 17,478.40
  4. Step 4: Simplify right side
    52,542.40x = 1,377,661,470.72
  5. Step 5: Solve for x
    x = 1,377,661,470.72/52,542.40
  6. Step 6: Final answer
    x = 26,220.00

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1.5x scale

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.