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Finding the Fourth Proportional to 78,292.35, 108,043.56 and 42,482.64

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Solution

The fourth proportional to 78,292.35, 108,043.56 and 42,482.64 is: 58,626.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,292.35 : 108,043.56 = 42,482.64 : x
  2. Step 2: Convert to fraction form
    78,292.35/108,043.56 = 42,482.64/x
  3. Step 3: Cross multiply
    78,292.35x = 108,043.56 × 42,482.64
  4. Step 4: Simplify right side
    78,292.35x = 4,589,975,663.80
  5. Step 5: Solve for x
    x = 4,589,975,663.80/78,292.35
  6. Step 6: Final answer
    x = 58,626.11

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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.