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Finding the Fourth Proportional to 48,466, 72,646.62 and 20,379.52

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Solution

The fourth proportional to 48,466, 72,646.62 and 20,379.52 is: 30,547.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,466 : 72,646.62 = 20,379.52 : x
  2. Step 2: Convert to fraction form
    48,466/72,646.62 = 20,379.52/x
  3. Step 3: Cross multiply
    48,466x = 72,646.62 × 20,379.52
  4. Step 4: Simplify right side
    48,466x = 1,480,503,245.22
  5. Step 5: Solve for x
    x = 1,480,503,245.22/48,466
  6. Step 6: Final answer
    x = 30,547.25

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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.