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Finding the Fourth Proportional to 286,171.65, 429,274.62 and 75,808.98

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Solution

The fourth proportional to 286,171.65, 429,274.62 and 75,808.98 is: 113,718.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,171.65 : 429,274.62 = 75,808.98 : x
  2. Step 2: Convert to fraction form
    286,171.65/429,274.62 = 75,808.98/x
  3. Step 3: Cross multiply
    286,171.65x = 429,274.62 × 75,808.98
  4. Step 4: Simplify right side
    286,171.65x = 32,542,871,082.09
  5. Step 5: Solve for x
    x = 32,542,871,082.09/286,171.65
  6. Step 6: Final answer
    x = 113,718.01

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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.