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Finding the Fourth Proportional to 128,005.74, 176,648.43 and 71,419.50

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Solution

The fourth proportional to 128,005.74, 176,648.43 and 71,419.50 is: 98,559.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,005.74 : 176,648.43 = 71,419.50 : x
  2. Step 2: Convert to fraction form
    128,005.74/176,648.43 = 71,419.50/x
  3. Step 3: Cross multiply
    128,005.74x = 176,648.43 × 71,419.50
  4. Step 4: Simplify right side
    128,005.74x = 12,616,142,546.39
  5. Step 5: Solve for x
    x = 12,616,142,546.39/128,005.74
  6. Step 6: Final answer
    x = 98,559.19

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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.