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Finding the Fourth Proportional to 78,281.64, 108,047.88 and 48,074.16

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Solution

The fourth proportional to 78,281.64, 108,047.88 and 48,074.16 is: 66,354.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,281.64 : 108,047.88 = 48,074.16 : x
  2. Step 2: Convert to fraction form
    78,281.64/108,047.88 = 48,074.16/x
  3. Step 3: Cross multiply
    78,281.64x = 108,047.88 × 48,074.16
  4. Step 4: Simplify right side
    78,281.64x = 5,194,311,070.78
  5. Step 5: Solve for x
    x = 5,194,311,070.78/78,281.64
  6. Step 6: Final answer
    x = 66,354.14

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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.