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Finding the Fourth Proportional to 200,461.60, 300,681.76 and 67,342.88

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Solution

The fourth proportional to 200,461.60, 300,681.76 and 67,342.88 is: 101,010.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,461.60 : 300,681.76 = 67,342.88 : x
  2. Step 2: Convert to fraction form
    200,461.60/300,681.76 = 67,342.88/x
  3. Step 3: Cross multiply
    200,461.60x = 300,681.76 × 67,342.88
  4. Step 4: Simplify right side
    200,461.60x = 20,248,775,681.87
  5. Step 5: Solve for x
    x = 20,248,775,681.87/200,461.60
  6. Step 6: Final answer
    x = 101,010.75

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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.