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Finding the Fourth Proportional to 48,780, 67,316.40 and 26,424

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Solution

The fourth proportional to 48,780, 67,316.40 and 26,424 is: 36,465.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,780 : 67,316.40 = 26,424 : x
  2. Step 2: Convert to fraction form
    48,780/67,316.40 = 26,424/x
  3. Step 3: Cross multiply
    48,780x = 67,316.40 × 26,424
  4. Step 4: Simplify right side
    48,780x = 1,778,768,553.60
  5. Step 5: Solve for x
    x = 1,778,768,553.60/48,780
  6. Step 6: Final answer
    x = 36,465.12

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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.