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Finding the Fourth Proportional to 233,142.30, 349,713.45 and 99,999.90

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Solution

The fourth proportional to 233,142.30, 349,713.45 and 99,999.90 is: 149,999.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,142.30 : 349,713.45 = 99,999.90 : x
  2. Step 2: Convert to fraction form
    233,142.30/349,713.45 = 99,999.90/x
  3. Step 3: Cross multiply
    233,142.30x = 349,713.45 × 99,999.90
  4. Step 4: Simplify right side
    233,142.30x = 34,971,310,028.66
  5. Step 5: Solve for x
    x = 34,971,310,028.66/233,142.30
  6. Step 6: Final answer
    x = 149,999.85

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1.5x scale

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.