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Finding the Fourth Proportional to 78,512.98, 108,346.84 and 42,702.22

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Solution

The fourth proportional to 78,512.98, 108,346.84 and 42,702.22 is: 58,928.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,512.98 : 108,346.84 = 42,702.22 : x
  2. Step 2: Convert to fraction form
    78,512.98/108,346.84 = 42,702.22/x
  3. Step 3: Cross multiply
    78,512.98x = 108,346.84 × 42,702.22
  4. Step 4: Simplify right side
    78,512.98x = 4,626,650,597.98
  5. Step 5: Solve for x
    x = 4,626,650,597.98/78,512.98
  6. Step 6: Final answer
    x = 58,928.48

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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.