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Finding the Fourth Proportional to 133,066.65, 199,599.98 and 85,827.45

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Solution

The fourth proportional to 133,066.65, 199,599.98 and 85,827.45 is: 128,741.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,066.65 : 199,599.98 = 85,827.45 : x
  2. Step 2: Convert to fraction form
    133,066.65/199,599.98 = 85,827.45/x
  3. Step 3: Cross multiply
    133,066.65x = 199,599.98 × 85,827.45
  4. Step 4: Simplify right side
    133,066.65x = 17,131,156,874.31
  5. Step 5: Solve for x
    x = 17,131,156,874.31/133,066.65
  6. Step 6: Final answer
    x = 128,741.18

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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.