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Finding the Fourth Proportional to 48,643.50, 67,128.12 and 26,287.50

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Solution

The fourth proportional to 48,643.50, 67,128.12 and 26,287.50 is: 36,276.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,643.50 : 67,128.12 = 26,287.50 : x
  2. Step 2: Convert to fraction form
    48,643.50/67,128.12 = 26,287.50/x
  3. Step 3: Cross multiply
    48,643.50x = 67,128.12 × 26,287.50
  4. Step 4: Simplify right side
    48,643.50x = 1,764,630,454.50
  5. Step 5: Solve for x
    x = 1,764,630,454.50/48,643.50
  6. Step 6: Final answer
    x = 36,276.80

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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.