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Finding the Fourth Proportional to 153,985, 231,069.66 and 66,433

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Solution

The fourth proportional to 153,985, 231,069.66 and 66,433 is: 99,689.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,985 : 231,069.66 = 66,433 : x
  2. Step 2: Convert to fraction form
    153,985/231,069.66 = 66,433/x
  3. Step 3: Cross multiply
    153,985x = 231,069.66 × 66,433
  4. Step 4: Simplify right side
    153,985x = 15,350,650,722.78
  5. Step 5: Solve for x
    x = 15,350,650,722.78/153,985
  6. Step 6: Final answer
    x = 99,689.26

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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.