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Finding the Fourth Proportional to 253,948.65, 381,001.95 and 104,201.12

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Solution

The fourth proportional to 253,948.65, 381,001.95 and 104,201.12 is: 156,334.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,948.65 : 381,001.95 = 104,201.12 : x
  2. Step 2: Convert to fraction form
    253,948.65/381,001.95 = 104,201.12/x
  3. Step 3: Cross multiply
    253,948.65x = 381,001.95 × 104,201.12
  4. Step 4: Simplify right side
    253,948.65x = 39,700,828,007.17
  5. Step 5: Solve for x
    x = 39,700,828,007.17/253,948.65
  6. Step 6: Final answer
    x = 156,334.08

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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.