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Finding the Fourth Proportional to 261,870, 361,353.75 and 147,130.40

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Solution

The fourth proportional to 261,870, 361,353.75 and 147,130.40 is: 203,024.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,870 : 361,353.75 = 147,130.40 : x
  2. Step 2: Convert to fraction form
    261,870/361,353.75 = 147,130.40/x
  3. Step 3: Cross multiply
    261,870x = 361,353.75 × 147,130.40
  4. Step 4: Simplify right side
    261,870x = 53,166,119,972.23
  5. Step 5: Solve for x
    x = 53,166,119,972.23/261,870
  6. Step 6: Final answer
    x = 203,024.86

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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.