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Finding the Fourth Proportional to 92,069.84, 127,041.50 and 51,781.20

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Solution

The fourth proportional to 92,069.84, 127,041.50 and 51,781.20 is: 71,449.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,069.84 : 127,041.50 = 51,781.20 : x
  2. Step 2: Convert to fraction form
    92,069.84/127,041.50 = 51,781.20/x
  3. Step 3: Cross multiply
    92,069.84x = 127,041.50 × 51,781.20
  4. Step 4: Simplify right side
    92,069.84x = 6,578,361,319.80
  5. Step 5: Solve for x
    x = 6,578,361,319.80/92,069.84
  6. Step 6: Final answer
    x = 71,449.69

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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.