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Finding the Fourth Proportional to 65,520, 90,417.60 and 35,713.92

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Solution

The fourth proportional to 65,520, 90,417.60 and 35,713.92 is: 49,285.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,520 : 90,417.60 = 35,713.92 : x
  2. Step 2: Convert to fraction form
    65,520/90,417.60 = 35,713.92/x
  3. Step 3: Cross multiply
    65,520x = 90,417.60 × 35,713.92
  4. Step 4: Simplify right side
    65,520x = 3,229,166,932.99
  5. Step 5: Solve for x
    x = 3,229,166,932.99/65,520
  6. Step 6: Final answer
    x = 49,285.21

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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.