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Finding the Fourth Proportional to 128,900.24, 177,881.92 and 71,548.24

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Solution

The fourth proportional to 128,900.24, 177,881.92 and 71,548.24 is: 98,736.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,900.24 : 177,881.92 = 71,548.24 : x
  2. Step 2: Convert to fraction form
    128,900.24/177,881.92 = 71,548.24/x
  3. Step 3: Cross multiply
    128,900.24x = 177,881.92 × 71,548.24
  4. Step 4: Simplify right side
    128,900.24x = 12,727,138,303.82
  5. Step 5: Solve for x
    x = 12,727,138,303.82/128,900.24
  6. Step 6: Final answer
    x = 98,736.34

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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.