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Finding the Fourth Proportional to 351,510.72, 527,156.98 and 126,842

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Solution

The fourth proportional to 351,510.72, 527,156.98 and 126,842 is: 190,223.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,510.72 : 527,156.98 = 126,842 : x
  2. Step 2: Convert to fraction form
    351,510.72/527,156.98 = 126,842/x
  3. Step 3: Cross multiply
    351,510.72x = 527,156.98 × 126,842
  4. Step 4: Simplify right side
    351,510.72x = 66,865,645,657.16
  5. Step 5: Solve for x
    x = 66,865,645,657.16/351,510.72
  6. Step 6: Final answer
    x = 190,223.63

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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.