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Finding the Fourth Proportional to 76,081.66, 104,988.10 and 45,876.76

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Solution

The fourth proportional to 76,081.66, 104,988.10 and 45,876.76 is: 63,307.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,081.66 : 104,988.10 = 45,876.76 : x
  2. Step 2: Convert to fraction form
    76,081.66/104,988.10 = 45,876.76/x
  3. Step 3: Cross multiply
    76,081.66x = 104,988.10 × 45,876.76
  4. Step 4: Simplify right side
    76,081.66x = 4,816,513,866.56
  5. Step 5: Solve for x
    x = 4,816,513,866.56/76,081.66
  6. Step 6: Final answer
    x = 63,307.16

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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.