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Finding the Fourth Proportional to 267,143, 368,657.34 and 147,911

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Solution

The fourth proportional to 267,143, 368,657.34 and 147,911 is: 204,117.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,143 : 368,657.34 = 147,911 : x
  2. Step 2: Convert to fraction form
    267,143/368,657.34 = 147,911/x
  3. Step 3: Cross multiply
    267,143x = 368,657.34 × 147,911
  4. Step 4: Simplify right side
    267,143x = 54,528,475,816.74
  5. Step 5: Solve for x
    x = 54,528,475,816.74/267,143
  6. Step 6: Final answer
    x = 204,117.18

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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.