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Finding the Fourth Proportional to 224,007.16, 309,129.86 and 123,405.16

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Solution

The fourth proportional to 224,007.16, 309,129.86 and 123,405.16 is: 170,299.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,007.16 : 309,129.86 = 123,405.16 : x
  2. Step 2: Convert to fraction form
    224,007.16/309,129.86 = 123,405.16/x
  3. Step 3: Cross multiply
    224,007.16x = 309,129.86 × 123,405.16
  4. Step 4: Simplify right side
    224,007.16x = 38,148,219,834.08
  5. Step 5: Solve for x
    x = 38,148,219,834.08/224,007.16
  6. Step 6: Final answer
    x = 170,299.11

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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.