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Finding the Fourth Proportional to 78,615.86, 108,488.48 and 42,805.22

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Solution

The fourth proportional to 78,615.86, 108,488.48 and 42,805.22 is: 59,070.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,615.86 : 108,488.48 = 42,805.22 : x
  2. Step 2: Convert to fraction form
    78,615.86/108,488.48 = 42,805.22/x
  3. Step 3: Cross multiply
    78,615.86x = 108,488.48 × 42,805.22
  4. Step 4: Simplify right side
    78,615.86x = 4,643,872,497.40
  5. Step 5: Solve for x
    x = 4,643,872,497.40/78,615.86
  6. Step 6: Final answer
    x = 59,070.43

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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.