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Finding the Fourth Proportional to 105,522, 145,597.08 and 64,694.88

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Solution

The fourth proportional to 105,522, 145,597.08 and 64,694.88 is: 89,264.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,522 : 145,597.08 = 64,694.88 : x
  2. Step 2: Convert to fraction form
    105,522/145,597.08 = 64,694.88/x
  3. Step 3: Cross multiply
    105,522x = 145,597.08 × 64,694.88
  4. Step 4: Simplify right side
    105,522x = 9,419,385,618.95
  5. Step 5: Solve for x
    x = 9,419,385,618.95/105,522
  6. Step 6: Final answer
    x = 89,264.66

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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.