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Finding the Fourth Proportional to 65,780.48, 98,672.52 and 19,035.20

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Solution

The fourth proportional to 65,780.48, 98,672.52 and 19,035.20 is: 28,553.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,780.48 : 98,672.52 = 19,035.20 : x
  2. Step 2: Convert to fraction form
    65,780.48/98,672.52 = 19,035.20/x
  3. Step 3: Cross multiply
    65,780.48x = 98,672.52 × 19,035.20
  4. Step 4: Simplify right side
    65,780.48x = 1,878,251,152.70
  5. Step 5: Solve for x
    x = 1,878,251,152.70/65,780.48
  6. Step 6: Final answer
    x = 28,553.32

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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.