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Finding the Fourth Proportional to 223,947.47, 309,047.51 and 123,345.47

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Solution

The fourth proportional to 223,947.47, 309,047.51 and 123,345.47 is: 170,216.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,947.47 : 309,047.51 = 123,345.47 : x
  2. Step 2: Convert to fraction form
    223,947.47/309,047.51 = 123,345.47/x
  3. Step 3: Cross multiply
    223,947.47x = 309,047.51 × 123,345.47
  4. Step 4: Simplify right side
    223,947.47x = 38,119,611,454.26
  5. Step 5: Solve for x
    x = 38,119,611,454.26/223,947.47
  6. Step 6: Final answer
    x = 170,216.75

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1.5x scale

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.