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Finding the Fourth Proportional to 200,748.70, 300,920.55 and 74,307.70

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Solution

The fourth proportional to 200,748.70, 300,920.55 and 74,307.70 is: 111,386.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,748.70 : 300,920.55 = 74,307.70 : x
  2. Step 2: Convert to fraction form
    200,748.70/300,920.55 = 74,307.70/x
  3. Step 3: Cross multiply
    200,748.70x = 300,920.55 × 74,307.70
  4. Step 4: Simplify right side
    200,748.70x = 22,360,713,953.24
  5. Step 5: Solve for x
    x = 22,360,713,953.24/200,748.70
  6. Step 6: Final answer
    x = 111,386.59

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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.