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Finding the Fourth Proportional to 78,321.65, 108,083.96 and 42,511.65

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Solution

The fourth proportional to 78,321.65, 108,083.96 and 42,511.65 is: 58,666.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,321.65 : 108,083.96 = 42,511.65 : x
  2. Step 2: Convert to fraction form
    78,321.65/108,083.96 = 42,511.65/x
  3. Step 3: Cross multiply
    78,321.65x = 108,083.96 × 42,511.65
  4. Step 4: Simplify right side
    78,321.65x = 4,594,827,265.58
  5. Step 5: Solve for x
    x = 4,594,827,265.58/78,321.65
  6. Step 6: Final answer
    x = 58,666.12

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1.5x scale

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.