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Finding the Fourth Proportional to 78,536.50, 108,418.01 and 48,347.70

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Solution

The fourth proportional to 78,536.50, 108,418.01 and 48,347.70 is: 66,743.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,536.50 : 108,418.01 = 48,347.70 : x
  2. Step 2: Convert to fraction form
    78,536.50/108,418.01 = 48,347.70/x
  3. Step 3: Cross multiply
    78,536.50x = 108,418.01 × 48,347.70
  4. Step 4: Simplify right side
    78,536.50x = 5,241,761,339.66
  5. Step 5: Solve for x
    x = 5,241,761,339.66/78,536.50
  6. Step 6: Final answer
    x = 66,743.00

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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.