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Finding the Fourth Proportional to 224,172.32, 309,357.52 and 123,572

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Solution

The fourth proportional to 224,172.32, 309,357.52 and 123,572 is: 170,529.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,172.32 : 309,357.52 = 123,572 : x
  2. Step 2: Convert to fraction form
    224,172.32/309,357.52 = 123,572/x
  3. Step 3: Cross multiply
    224,172.32x = 309,357.52 × 123,572
  4. Step 4: Simplify right side
    224,172.32x = 38,227,927,461.44
  5. Step 5: Solve for x
    x = 38,227,927,461.44/224,172.32
  6. Step 6: Final answer
    x = 170,529.20

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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.