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Finding the Fourth Proportional to 224,386.50, 309,631.80 and 123,778.02

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Solution

The fourth proportional to 224,386.50, 309,631.80 and 123,778.02 is: 170,801.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,386.50 : 309,631.80 = 123,778.02 : x
  2. Step 2: Convert to fraction form
    224,386.50/309,631.80 = 123,778.02/x
  3. Step 3: Cross multiply
    224,386.50x = 309,631.80 × 123,778.02
  4. Step 4: Simplify right side
    224,386.50x = 38,325,611,133.04
  5. Step 5: Solve for x
    x = 38,325,611,133.04/224,386.50
  6. Step 6: Final answer
    x = 170,801.77

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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.