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Finding the Fourth Proportional to 78,505.34, 108,338.16 and 42,696.14

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Solution

The fourth proportional to 78,505.34, 108,338.16 and 42,696.14 is: 58,921.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,505.34 : 108,338.16 = 42,696.14 : x
  2. Step 2: Convert to fraction form
    78,505.34/108,338.16 = 42,696.14/x
  3. Step 3: Cross multiply
    78,505.34x = 108,338.16 × 42,696.14
  4. Step 4: Simplify right side
    78,505.34x = 4,625,621,246.70
  5. Step 5: Solve for x
    x = 4,625,621,246.70/78,505.34
  6. Step 6: Final answer
    x = 58,921.10

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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.