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Finding the Fourth Proportional to 128,419.83, 177,179.20 and 77,448.15

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Solution

The fourth proportional to 128,419.83, 177,179.20 and 77,448.15 is: 106,854.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,419.83 : 177,179.20 = 77,448.15 : x
  2. Step 2: Convert to fraction form
    128,419.83/177,179.20 = 77,448.15/x
  3. Step 3: Cross multiply
    128,419.83x = 177,179.20 × 77,448.15
  4. Step 4: Simplify right side
    128,419.83x = 13,722,201,064.86
  5. Step 5: Solve for x
    x = 13,722,201,064.86/128,419.83
  6. Step 6: Final answer
    x = 106,854.22

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1.5x scale

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.