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Finding the Fourth Proportional to 261,948, 361,488.24 and 142,716

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Solution

The fourth proportional to 261,948, 361,488.24 and 142,716 is: 196,948.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,948 : 361,488.24 = 142,716 : x
  2. Step 2: Convert to fraction form
    261,948/361,488.24 = 142,716/x
  3. Step 3: Cross multiply
    261,948x = 361,488.24 × 142,716
  4. Step 4: Simplify right side
    261,948x = 51,590,155,659.84
  5. Step 5: Solve for x
    x = 51,590,155,659.84/261,948
  6. Step 6: Final answer
    x = 196,948.08

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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.