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Finding the Fourth Proportional to 212,269.24, 292,809.90 and 132,643

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Solution

The fourth proportional to 212,269.24, 292,809.90 and 132,643 is: 182,971.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,269.24 : 292,809.90 = 132,643 : x
  2. Step 2: Convert to fraction form
    212,269.24/292,809.90 = 132,643/x
  3. Step 3: Cross multiply
    212,269.24x = 292,809.90 × 132,643
  4. Step 4: Simplify right side
    212,269.24x = 38,839,183,565.70
  5. Step 5: Solve for x
    x = 38,839,183,565.70/212,269.24
  6. Step 6: Final answer
    x = 182,971.32

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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.