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Finding the Fourth Proportional to 78,456.88, 108,269.44 and 42,646.08

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Solution

The fourth proportional to 78,456.88, 108,269.44 and 42,646.08 is: 58,851.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,456.88 : 108,269.44 = 42,646.08 : x
  2. Step 2: Convert to fraction form
    78,456.88/108,269.44 = 42,646.08/x
  3. Step 3: Cross multiply
    78,456.88x = 108,269.44 × 42,646.08
  4. Step 4: Simplify right side
    78,456.88x = 4,617,267,199.80
  5. Step 5: Solve for x
    x = 4,617,267,199.80/78,456.88
  6. Step 6: Final answer
    x = 58,851.02

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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.