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Finding the Fourth Proportional to 163,707.20, 225,607.20 and 143,432

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Solution

The fourth proportional to 163,707.20, 225,607.20 and 143,432 is: 197,665.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,707.20 : 225,607.20 = 143,432 : x
  2. Step 2: Convert to fraction form
    163,707.20/225,607.20 = 143,432/x
  3. Step 3: Cross multiply
    163,707.20x = 225,607.20 × 143,432
  4. Step 4: Simplify right side
    163,707.20x = 32,359,291,910.40
  5. Step 5: Solve for x
    x = 32,359,291,910.40/163,707.20
  6. Step 6: Final answer
    x = 197,665.66

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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.