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Finding the Fourth Proportional to 82,878.40, 124,220.40 and 43,415.20

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Solution

The fourth proportional to 82,878.40, 124,220.40 and 43,415.20 is: 65,071.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,878.40 : 124,220.40 = 43,415.20 : x
  2. Step 2: Convert to fraction form
    82,878.40/124,220.40 = 43,415.20/x
  3. Step 3: Cross multiply
    82,878.40x = 124,220.40 × 43,415.20
  4. Step 4: Simplify right side
    82,878.40x = 5,393,053,510.08
  5. Step 5: Solve for x
    x = 5,393,053,510.08/82,878.40
  6. Step 6: Final answer
    x = 65,071.88

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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.