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Finding the Fourth Proportional to 81,700.66, 122,570.69 and 28,384.87

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Solution

The fourth proportional to 81,700.66, 122,570.69 and 28,384.87 is: 42,584.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,700.66 : 122,570.69 = 28,384.87 : x
  2. Step 2: Convert to fraction form
    81,700.66/122,570.69 = 28,384.87/x
  3. Step 3: Cross multiply
    81,700.66x = 122,570.69 × 28,384.87
  4. Step 4: Simplify right side
    81,700.66x = 3,479,153,101.46
  5. Step 5: Solve for x
    x = 3,479,153,101.46/81,700.66
  6. Step 6: Final answer
    x = 42,584.15

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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.