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Finding the Fourth Proportional to 223,947.72, 309,047.86 and 123,345.72

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Solution

The fourth proportional to 223,947.72, 309,047.86 and 123,345.72 is: 170,217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,947.72 : 309,047.86 = 123,345.72 : x
  2. Step 2: Convert to fraction form
    223,947.72/309,047.86 = 123,345.72/x
  3. Step 3: Cross multiply
    223,947.72x = 309,047.86 × 123,345.72
  4. Step 4: Simplify right side
    223,947.72x = 38,119,730,806.16
  5. Step 5: Solve for x
    x = 38,119,730,806.16/223,947.72
  6. Step 6: Final answer
    x = 170,217.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.