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Finding the Fourth Proportional to 274,937.86, 412,406.43 and 75,259.90

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Solution

The fourth proportional to 274,937.86, 412,406.43 and 75,259.90 is: 112,889.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,937.86 : 412,406.43 = 75,259.90 : x
  2. Step 2: Convert to fraction form
    274,937.86/412,406.43 = 75,259.90/x
  3. Step 3: Cross multiply
    274,937.86x = 412,406.43 × 75,259.90
  4. Step 4: Simplify right side
    274,937.86x = 31,037,666,681.16
  5. Step 5: Solve for x
    x = 31,037,666,681.16/274,937.86
  6. Step 6: Final answer
    x = 112,889.75

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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.