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Finding the Fourth Proportional to 261,902, 361,424.76 and 142,670

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Solution

The fourth proportional to 261,902, 361,424.76 and 142,670 is: 196,884.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,902 : 361,424.76 = 142,670 : x
  2. Step 2: Convert to fraction form
    261,902/361,424.76 = 142,670/x
  3. Step 3: Cross multiply
    261,902x = 361,424.76 × 142,670
  4. Step 4: Simplify right side
    261,902x = 51,564,470,509.20
  5. Step 5: Solve for x
    x = 51,564,470,509.20/261,902
  6. Step 6: Final answer
    x = 196,884.60

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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.