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Finding the Fourth Proportional to 376,129.34, 564,192.05 and 91,821.40

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Solution

The fourth proportional to 376,129.34, 564,192.05 and 91,821.40 is: 137,731.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,129.34 : 564,192.05 = 91,821.40 : x
  2. Step 2: Convert to fraction form
    376,129.34/564,192.05 = 91,821.40/x
  3. Step 3: Cross multiply
    376,129.34x = 564,192.05 × 91,821.40
  4. Step 4: Simplify right side
    376,129.34x = 51,804,902,030.28
  5. Step 5: Solve for x
    x = 51,804,902,030.28/376,129.34
  6. Step 6: Final answer
    x = 137,731.62

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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.