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Finding the Fourth Proportional to 202,854.30, 304,281.45 and 78,195.30

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Solution

The fourth proportional to 202,854.30, 304,281.45 and 78,195.30 is: 117,292.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,854.30 : 304,281.45 = 78,195.30 : x
  2. Step 2: Convert to fraction form
    202,854.30/304,281.45 = 78,195.30/x
  3. Step 3: Cross multiply
    202,854.30x = 304,281.45 × 78,195.30
  4. Step 4: Simplify right side
    202,854.30x = 23,793,379,267.19
  5. Step 5: Solve for x
    x = 23,793,379,267.19/202,854.30
  6. Step 6: Final answer
    x = 117,292.95

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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.