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Finding the Fourth Proportional to 75,678.72, 104,436.65 and 43,866.08

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Solution

The fourth proportional to 75,678.72, 104,436.65 and 43,866.08 is: 60,535.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,678.72 : 104,436.65 = 43,866.08 : x
  2. Step 2: Convert to fraction form
    75,678.72/104,436.65 = 43,866.08/x
  3. Step 3: Cross multiply
    75,678.72x = 104,436.65 × 43,866.08
  4. Step 4: Simplify right side
    75,678.72x = 4,581,225,702.32
  5. Step 5: Solve for x
    x = 4,581,225,702.32/75,678.72
  6. Step 6: Final answer
    x = 60,535.19

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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.