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Finding the Fourth Proportional to 203,290.53, 280,547.08 and 112,638.02

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Solution

The fourth proportional to 203,290.53, 280,547.08 and 112,638.02 is: 155,443.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,290.53 : 280,547.08 = 112,638.02 : x
  2. Step 2: Convert to fraction form
    203,290.53/280,547.08 = 112,638.02/x
  3. Step 3: Cross multiply
    203,290.53x = 280,547.08 × 112,638.02
  4. Step 4: Simplify right side
    203,290.53x = 31,600,266,346.04
  5. Step 5: Solve for x
    x = 31,600,266,346.04/203,290.53
  6. Step 6: Final answer
    x = 155,443.87

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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.