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Finding the Fourth Proportional to 115,209, 172,881.54 and 48,644.82

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Solution

The fourth proportional to 115,209, 172,881.54 and 48,644.82 is: 72,995.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,209 : 172,881.54 = 48,644.82 : x
  2. Step 2: Convert to fraction form
    115,209/172,881.54 = 48,644.82/x
  3. Step 3: Cross multiply
    115,209x = 172,881.54 × 48,644.82
  4. Step 4: Simplify right side
    115,209x = 8,409,791,394.62
  5. Step 5: Solve for x
    x = 8,409,791,394.62/115,209
  6. Step 6: Final answer
    x = 72,995.96

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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.