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Finding the Fourth Proportional to 261,123, 360,364.32 and 147,982.20

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Solution

The fourth proportional to 261,123, 360,364.32 and 147,982.20 is: 204,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,123 : 360,364.32 = 147,982.20 : x
  2. Step 2: Convert to fraction form
    261,123/360,364.32 = 147,982.20/x
  3. Step 3: Cross multiply
    261,123x = 360,364.32 × 147,982.20
  4. Step 4: Simplify right side
    261,123x = 53,327,504,875.10
  5. Step 5: Solve for x
    x = 53,327,504,875.10/261,123
  6. Step 6: Final answer
    x = 204,223.70

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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.