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Finding the Fourth Proportional to 69,978.48, 96,569.68 and 38,147.36

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Solution

The fourth proportional to 69,978.48, 96,569.68 and 38,147.36 is: 52,643.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,978.48 : 96,569.68 = 38,147.36 : x
  2. Step 2: Convert to fraction form
    69,978.48/96,569.68 = 38,147.36/x
  3. Step 3: Cross multiply
    69,978.48x = 96,569.68 × 38,147.36
  4. Step 4: Simplify right side
    69,978.48x = 3,683,878,348.04
  5. Step 5: Solve for x
    x = 3,683,878,348.04/69,978.48
  6. Step 6: Final answer
    x = 52,643.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.