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Finding the Fourth Proportional to 153,987, 231,072.66 and 66,435

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Solution

The fourth proportional to 153,987, 231,072.66 and 66,435 is: 99,692.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,987 : 231,072.66 = 66,435 : x
  2. Step 2: Convert to fraction form
    153,987/231,072.66 = 66,435/x
  3. Step 3: Cross multiply
    153,987x = 231,072.66 × 66,435
  4. Step 4: Simplify right side
    153,987x = 15,351,312,167.10
  5. Step 5: Solve for x
    x = 15,351,312,167.10/153,987
  6. Step 6: Final answer
    x = 99,692.26

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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.