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Finding the Fourth Proportional to 200,122.10, 300,253.47 and 125,157.14

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Solution

The fourth proportional to 200,122.10, 300,253.47 and 125,157.14 is: 187,779.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,122.10 : 300,253.47 = 125,157.14 : x
  2. Step 2: Convert to fraction form
    200,122.10/300,253.47 = 125,157.14/x
  3. Step 3: Cross multiply
    200,122.10x = 300,253.47 × 125,157.14
  4. Step 4: Simplify right side
    200,122.10x = 37,578,865,580.28
  5. Step 5: Solve for x
    x = 37,578,865,580.28/200,122.10
  6. Step 6: Final answer
    x = 187,779.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.