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Finding the Fourth Proportional to 224,030.86, 309,162.41 and 123,428.86

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Solution

The fourth proportional to 224,030.86, 309,162.41 and 123,428.86 is: 170,331.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,030.86 : 309,162.41 = 123,428.86 : x
  2. Step 2: Convert to fraction form
    224,030.86/309,162.41 = 123,428.86/x
  3. Step 3: Cross multiply
    224,030.86x = 309,162.41 × 123,428.86
  4. Step 4: Simplify right side
    224,030.86x = 38,159,563,821.15
  5. Step 5: Solve for x
    x = 38,159,563,821.15/224,030.86
  6. Step 6: Final answer
    x = 170,331.73

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1.5x scale

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.