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Finding the Fourth Proportional to 150,470.40, 207,648.48 and 83,402.40

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Solution

The fourth proportional to 150,470.40, 207,648.48 and 83,402.40 is: 115,094.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,470.40 : 207,648.48 = 83,402.40 : x
  2. Step 2: Convert to fraction form
    150,470.40/207,648.48 = 83,402.40/x
  3. Step 3: Cross multiply
    150,470.40x = 207,648.48 × 83,402.40
  4. Step 4: Simplify right side
    150,470.40x = 17,318,381,588.35
  5. Step 5: Solve for x
    x = 17,318,381,588.35/150,470.40
  6. Step 6: Final answer
    x = 115,094.94

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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.