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Finding the Fourth Proportional to 147,819.65, 221,628.29 and 53,047.71

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Solution

The fourth proportional to 147,819.65, 221,628.29 and 53,047.71 is: 79,535.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,819.65 : 221,628.29 = 53,047.71 : x
  2. Step 2: Convert to fraction form
    147,819.65/221,628.29 = 53,047.71/x
  3. Step 3: Cross multiply
    147,819.65x = 221,628.29 × 53,047.71
  4. Step 4: Simplify right side
    147,819.65x = 11,756,872,990.48
  5. Step 5: Solve for x
    x = 11,756,872,990.48/147,819.65
  6. Step 6: Final answer
    x = 79,535.25

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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.