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Finding the Fourth Proportional to 78,508.97, 108,341.32 and 42,698.21

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Solution

The fourth proportional to 78,508.97, 108,341.32 and 42,698.21 is: 58,922.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,508.97 : 108,341.32 = 42,698.21 : x
  2. Step 2: Convert to fraction form
    78,508.97/108,341.32 = 42,698.21/x
  3. Step 3: Cross multiply
    78,508.97x = 108,341.32 × 42,698.21
  4. Step 4: Simplify right side
    78,508.97x = 4,625,980,433.04
  5. Step 5: Solve for x
    x = 4,625,980,433.04/78,508.97
  6. Step 6: Final answer
    x = 58,922.95

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1.5x scale

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.