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Finding the Fourth Proportional to 65,140.80, 97,711.20 and 49,394.40

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Solution

The fourth proportional to 65,140.80, 97,711.20 and 49,394.40 is: 74,091.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,140.80 : 97,711.20 = 49,394.40 : x
  2. Step 2: Convert to fraction form
    65,140.80/97,711.20 = 49,394.40/x
  3. Step 3: Cross multiply
    65,140.80x = 97,711.20 × 49,394.40
  4. Step 4: Simplify right side
    65,140.80x = 4,826,386,097.28
  5. Step 5: Solve for x
    x = 4,826,386,097.28/65,140.80
  6. Step 6: Final answer
    x = 74,091.60

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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.