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Finding the Fourth Proportional to 78,296.59, 108,048.36 and 42,486.31

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Solution

The fourth proportional to 78,296.59, 108,048.36 and 42,486.31 is: 58,630.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,296.59 : 108,048.36 = 42,486.31 : x
  2. Step 2: Convert to fraction form
    78,296.59/108,048.36 = 42,486.31/x
  3. Step 3: Cross multiply
    78,296.59x = 108,048.36 × 42,486.31
  4. Step 4: Simplify right side
    78,296.59x = 4,590,576,117.95
  5. Step 5: Solve for x
    x = 4,590,576,117.95/78,296.59
  6. Step 6: Final answer
    x = 58,630.60

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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.