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Finding the Fourth Proportional to 243,017.96, 364,484.88 and 109,867.28

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Solution

The fourth proportional to 243,017.96, 364,484.88 and 109,867.28 is: 164,781.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,017.96 : 364,484.88 = 109,867.28 : x
  2. Step 2: Convert to fraction form
    243,017.96/364,484.88 = 109,867.28/x
  3. Step 3: Cross multiply
    243,017.96x = 364,484.88 × 109,867.28
  4. Step 4: Simplify right side
    243,017.96x = 40,044,962,366.73
  5. Step 5: Solve for x
    x = 40,044,962,366.73/243,017.96
  6. Step 6: Final answer
    x = 164,781.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.