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Finding the Fourth Proportional to 98,470.64, 135,884.76 and 56,025.20

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Solution

The fourth proportional to 98,470.64, 135,884.76 and 56,025.20 is: 77,312.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,470.64 : 135,884.76 = 56,025.20 : x
  2. Step 2: Convert to fraction form
    98,470.64/135,884.76 = 56,025.20/x
  3. Step 3: Cross multiply
    98,470.64x = 135,884.76 × 56,025.20
  4. Step 4: Simplify right side
    98,470.64x = 7,612,970,855.95
  5. Step 5: Solve for x
    x = 7,612,970,855.95/98,470.64
  6. Step 6: Final answer
    x = 77,312.09

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Why These Related Problems?

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