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Finding the Fourth Proportional to 261,428, 360,770.96 and 142,196

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Solution

The fourth proportional to 261,428, 360,770.96 and 142,196 is: 196,230.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,428 : 360,770.96 = 142,196 : x
  2. Step 2: Convert to fraction form
    261,428/360,770.96 = 142,196/x
  3. Step 3: Cross multiply
    261,428x = 360,770.96 × 142,196
  4. Step 4: Simplify right side
    261,428x = 51,300,187,428.16
  5. Step 5: Solve for x
    x = 51,300,187,428.16/261,428
  6. Step 6: Final answer
    x = 196,230.65

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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.