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Finding the Fourth Proportional to 99,578.30, 137,468.86 and 67,482.48

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Solution

The fourth proportional to 99,578.30, 137,468.86 and 67,482.48 is: 93,160.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,578.30 : 137,468.86 = 67,482.48 : x
  2. Step 2: Convert to fraction form
    99,578.30/137,468.86 = 67,482.48/x
  3. Step 3: Cross multiply
    99,578.30x = 137,468.86 × 67,482.48
  4. Step 4: Simplify right side
    99,578.30x = 9,276,739,595.57
  5. Step 5: Solve for x
    x = 9,276,739,595.57/99,578.30
  6. Step 6: Final answer
    x = 93,160.25

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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.