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Finding the Fourth Proportional to 200,064.90, 299,368.35 and 125,220.90

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Solution

The fourth proportional to 200,064.90, 299,368.35 and 125,220.90 is: 187,375.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,064.90 : 299,368.35 = 125,220.90 : x
  2. Step 2: Convert to fraction form
    200,064.90/299,368.35 = 125,220.90/x
  3. Step 3: Cross multiply
    200,064.90x = 299,368.35 × 125,220.90
  4. Step 4: Simplify right side
    200,064.90x = 37,487,174,218.52
  5. Step 5: Solve for x
    x = 37,487,174,218.52/200,064.90
  6. Step 6: Final answer
    x = 187,375.07

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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.