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Finding the Fourth Proportional to 65,730.60, 98,541.90 and 28,319.40

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Solution

The fourth proportional to 65,730.60, 98,541.90 and 28,319.40 is: 42,455.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,730.60 : 98,541.90 = 28,319.40 : x
  2. Step 2: Convert to fraction form
    65,730.60/98,541.90 = 28,319.40/x
  3. Step 3: Cross multiply
    65,730.60x = 98,541.90 × 28,319.40
  4. Step 4: Simplify right side
    65,730.60x = 2,790,647,482.86
  5. Step 5: Solve for x
    x = 2,790,647,482.86/65,730.60
  6. Step 6: Final answer
    x = 42,455.83

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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.