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Finding the Fourth Proportional to 224,577, 309,916.86 and 123,975

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Solution

The fourth proportional to 224,577, 309,916.86 and 123,975 is: 171,085.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,577 : 309,916.86 = 123,975 : x
  2. Step 2: Convert to fraction form
    224,577/309,916.86 = 123,975/x
  3. Step 3: Cross multiply
    224,577x = 309,916.86 × 123,975
  4. Step 4: Simplify right side
    224,577x = 38,421,942,718.50
  5. Step 5: Solve for x
    x = 38,421,942,718.50/224,577
  6. Step 6: Final answer
    x = 171,085.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.