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Finding the Fourth Proportional to 77,007.68, 115,440.48 and 27,748.16

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Solution

The fourth proportional to 77,007.68, 115,440.48 and 27,748.16 is: 41,596.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,007.68 : 115,440.48 = 27,748.16 : x
  2. Step 2: Convert to fraction form
    77,007.68/115,440.48 = 27,748.16/x
  3. Step 3: Cross multiply
    77,007.68x = 115,440.48 × 27,748.16
  4. Step 4: Simplify right side
    77,007.68x = 3,203,260,909.52
  5. Step 5: Solve for x
    x = 3,203,260,909.52/77,007.68
  6. Step 6: Final answer
    x = 41,596.64

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1.5x scale

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.