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Finding the Fourth Proportional to 223,948.31, 309,048.68 and 123,346.31

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Solution

The fourth proportional to 223,948.31, 309,048.68 and 123,346.31 is: 170,217.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,948.31 : 309,048.68 = 123,346.31 : x
  2. Step 2: Convert to fraction form
    223,948.31/309,048.68 = 123,346.31/x
  3. Step 3: Cross multiply
    223,948.31x = 309,048.68 × 123,346.31
  4. Step 4: Simplify right side
    223,948.31x = 38,120,014,444.26
  5. Step 5: Solve for x
    x = 38,120,014,444.26/223,948.31
  6. Step 6: Final answer
    x = 170,217.91

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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.