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Finding the Fourth Proportional to 120,285, 165,802.07 and 94,750.97

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Solution

The fourth proportional to 120,285, 165,802.07 and 94,750.97 is: 130,605.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,285 : 165,802.07 = 94,750.97 : x
  2. Step 2: Convert to fraction form
    120,285/165,802.07 = 94,750.97/x
  3. Step 3: Cross multiply
    120,285x = 165,802.07 × 94,750.97
  4. Step 4: Simplify right side
    120,285x = 15,709,906,368.38
  5. Step 5: Solve for x
    x = 15,709,906,368.38/120,285
  6. Step 6: Final answer
    x = 130,605.70

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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.