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Finding the Fourth Proportional to 223,029.96, 307,772.10 and 122,430.12

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Solution

The fourth proportional to 223,029.96, 307,772.10 and 122,430.12 is: 168,948.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,029.96 : 307,772.10 = 122,430.12 : x
  2. Step 2: Convert to fraction form
    223,029.96/307,772.10 = 122,430.12/x
  3. Step 3: Cross multiply
    223,029.96x = 307,772.10 × 122,430.12
  4. Step 4: Simplify right side
    223,029.96x = 37,680,575,135.65
  5. Step 5: Solve for x
    x = 37,680,575,135.65/223,029.96
  6. Step 6: Final answer
    x = 168,948.49

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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.