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Finding the Fourth Proportional to 147,917, 221,875.50 and 49,421

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Solution

The fourth proportional to 147,917, 221,875.50 and 49,421 is: 74,131.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,917 : 221,875.50 = 49,421 : x
  2. Step 2: Convert to fraction form
    147,917/221,875.50 = 49,421/x
  3. Step 3: Cross multiply
    147,917x = 221,875.50 × 49,421
  4. Step 4: Simplify right side
    147,917x = 10,965,309,085.50
  5. Step 5: Solve for x
    x = 10,965,309,085.50/147,917
  6. Step 6: Final answer
    x = 74,131.50

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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.