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Finding the Fourth Proportional to 152,009.89, 209,832.80 and 136,066.66

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Solution

The fourth proportional to 152,009.89, 209,832.80 and 136,066.66 is: 187,824.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,009.89 : 209,832.80 = 136,066.66 : x
  2. Step 2: Convert to fraction form
    152,009.89/209,832.80 = 136,066.66/x
  3. Step 3: Cross multiply
    152,009.89x = 209,832.80 × 136,066.66
  4. Step 4: Simplify right side
    152,009.89x = 28,551,247,049.53
  5. Step 5: Solve for x
    x = 28,551,247,049.53/152,009.89
  6. Step 6: Final answer
    x = 187,824.93

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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.