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Finding the Fourth Proportional to 70,128, 96,778.80 and 40,320

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Solution

The fourth proportional to 70,128, 96,778.80 and 40,320 is: 55,642.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,128 : 96,778.80 = 40,320 : x
  2. Step 2: Convert to fraction form
    70,128/96,778.80 = 40,320/x
  3. Step 3: Cross multiply
    70,128x = 96,778.80 × 40,320
  4. Step 4: Simplify right side
    70,128x = 3,902,121,216
  5. Step 5: Solve for x
    x = 3,902,121,216/70,128
  6. Step 6: Final answer
    x = 55,642.84

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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.