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Finding the Fourth Proportional to 78,443.85, 108,281.07 and 48,269.64

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Solution

The fourth proportional to 78,443.85, 108,281.07 and 48,269.64 is: 66,629.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,443.85 : 108,281.07 = 48,269.64 : x
  2. Step 2: Convert to fraction form
    78,443.85/108,281.07 = 48,269.64/x
  3. Step 3: Cross multiply
    78,443.85x = 108,281.07 × 48,269.64
  4. Step 4: Simplify right side
    78,443.85x = 5,226,688,267.71
  5. Step 5: Solve for x
    x = 5,226,688,267.71/78,443.85
  6. Step 6: Final answer
    x = 66,629.68

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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.