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Finding the Fourth Proportional to 77,641.92, 116,465.15 and 21,482.48

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Solution

The fourth proportional to 77,641.92, 116,465.15 and 21,482.48 is: 32,224.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,641.92 : 116,465.15 = 21,482.48 : x
  2. Step 2: Convert to fraction form
    77,641.92/116,465.15 = 21,482.48/x
  3. Step 3: Cross multiply
    77,641.92x = 116,465.15 × 21,482.48
  4. Step 4: Simplify right side
    77,641.92x = 2,501,960,600.44
  5. Step 5: Solve for x
    x = 2,501,960,600.44/77,641.92
  6. Step 6: Final answer
    x = 32,224.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.