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Finding the Fourth Proportional to 261,430, 392,203.32 and 95,218

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Solution

The fourth proportional to 261,430, 392,203.32 and 95,218 is: 142,848.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,430 : 392,203.32 = 95,218 : x
  2. Step 2: Convert to fraction form
    261,430/392,203.32 = 95,218/x
  3. Step 3: Cross multiply
    261,430x = 392,203.32 × 95,218
  4. Step 4: Simplify right side
    261,430x = 37,344,815,723.76
  5. Step 5: Solve for x
    x = 37,344,815,723.76/261,430
  6. Step 6: Final answer
    x = 142,848.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.