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Finding the Fourth Proportional to 80,969.40, 121,454.10 and 64,056.60

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Solution

The fourth proportional to 80,969.40, 121,454.10 and 64,056.60 is: 96,084.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,969.40 : 121,454.10 = 64,056.60 : x
  2. Step 2: Convert to fraction form
    80,969.40/121,454.10 = 64,056.60/x
  3. Step 3: Cross multiply
    80,969.40x = 121,454.10 × 64,056.60
  4. Step 4: Simplify right side
    80,969.40x = 7,779,936,702.06
  5. Step 5: Solve for x
    x = 7,779,936,702.06/80,969.40
  6. Step 6: Final answer
    x = 96,084.90

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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.