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Finding the Fourth Proportional to 78,730.08, 108,646 and 42,920.40

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Solution

The fourth proportional to 78,730.08, 108,646 and 42,920.40 is: 59,229.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,730.08 : 108,646 = 42,920.40 : x
  2. Step 2: Convert to fraction form
    78,730.08/108,646 = 42,920.40/x
  3. Step 3: Cross multiply
    78,730.08x = 108,646 × 42,920.40
  4. Step 4: Simplify right side
    78,730.08x = 4,663,129,778.40
  5. Step 5: Solve for x
    x = 4,663,129,778.40/78,730.08
  6. Step 6: Final answer
    x = 59,229.33

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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.