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Finding the Fourth Proportional to 128,909.81, 177,916.94 and 75,194.86

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Solution

The fourth proportional to 128,909.81, 177,916.94 and 75,194.86 is: 103,781.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,909.81 : 177,916.94 = 75,194.86 : x
  2. Step 2: Convert to fraction form
    128,909.81/177,916.94 = 75,194.86/x
  3. Step 3: Cross multiply
    128,909.81x = 177,916.94 × 75,194.86
  4. Step 4: Simplify right side
    128,909.81x = 13,378,439,018.95
  5. Step 5: Solve for x
    x = 13,378,439,018.95/128,909.81
  6. Step 6: Final answer
    x = 103,781.39

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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.