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Finding the Fourth Proportional to 82,386.80, 123,695.40 and 51,282.80

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Solution

The fourth proportional to 82,386.80, 123,695.40 and 51,282.80 is: 76,995.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,386.80 : 123,695.40 = 51,282.80 : x
  2. Step 2: Convert to fraction form
    82,386.80/123,695.40 = 51,282.80/x
  3. Step 3: Cross multiply
    82,386.80x = 123,695.40 × 51,282.80
  4. Step 4: Simplify right side
    82,386.80x = 6,343,446,459.12
  5. Step 5: Solve for x
    x = 6,343,446,459.12/82,386.80
  6. Step 6: Final answer
    x = 76,995.91

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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.