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Finding the Fourth Proportional to 261,126, 360,368.46 and 147,985.20

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Solution

The fourth proportional to 261,126, 360,368.46 and 147,985.20 is: 204,227.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,126 : 360,368.46 = 147,985.20 : x
  2. Step 2: Convert to fraction form
    261,126/360,368.46 = 147,985.20/x
  3. Step 3: Cross multiply
    261,126x = 360,368.46 × 147,985.20
  4. Step 4: Simplify right side
    261,126x = 53,329,198,626.79
  5. Step 5: Solve for x
    x = 53,329,198,626.79/261,126
  6. Step 6: Final answer
    x = 204,227.84

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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.