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Finding the Fourth Proportional to 68,475.70, 102,713.55 and 57,978.10

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Solution

The fourth proportional to 68,475.70, 102,713.55 and 57,978.10 is: 86,967.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,475.70 : 102,713.55 = 57,978.10 : x
  2. Step 2: Convert to fraction form
    68,475.70/102,713.55 = 57,978.10/x
  3. Step 3: Cross multiply
    68,475.70x = 102,713.55 × 57,978.10
  4. Step 4: Simplify right side
    68,475.70x = 5,955,136,473.26
  5. Step 5: Solve for x
    x = 5,955,136,473.26/68,475.70
  6. Step 6: Final answer
    x = 86,967.15

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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.