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Finding the Fourth Proportional to 78,117.82, 107,804.40 and 45,861.58

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Solution

The fourth proportional to 78,117.82, 107,804.40 and 45,861.58 is: 63,290.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,117.82 : 107,804.40 = 45,861.58 : x
  2. Step 2: Convert to fraction form
    78,117.82/107,804.40 = 45,861.58/x
  3. Step 3: Cross multiply
    78,117.82x = 107,804.40 × 45,861.58
  4. Step 4: Simplify right side
    78,117.82x = 4,944,080,114.95
  5. Step 5: Solve for x
    x = 4,944,080,114.95/78,117.82
  6. Step 6: Final answer
    x = 63,290.04

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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.