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Finding the Fourth Proportional to 82,521.40, 123,798 and 35,135.62

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Solution

The fourth proportional to 82,521.40, 123,798 and 35,135.62 is: 52,710.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,521.40 : 123,798 = 35,135.62 : x
  2. Step 2: Convert to fraction form
    82,521.40/123,798 = 35,135.62/x
  3. Step 3: Cross multiply
    82,521.40x = 123,798 × 35,135.62
  4. Step 4: Simplify right side
    82,521.40x = 4,349,719,484.76
  5. Step 5: Solve for x
    x = 4,349,719,484.76/82,521.40
  6. Step 6: Final answer
    x = 52,710.20

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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.