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Finding the Fourth Proportional to 201,098.90, 301,648.02 and 51,339.18

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Solution

The fourth proportional to 201,098.90, 301,648.02 and 51,339.18 is: 77,008.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,098.90 : 301,648.02 = 51,339.18 : x
  2. Step 2: Convert to fraction form
    201,098.90/301,648.02 = 51,339.18/x
  3. Step 3: Cross multiply
    201,098.90x = 301,648.02 × 51,339.18
  4. Step 4: Simplify right side
    201,098.90x = 15,486,361,995.42
  5. Step 5: Solve for x
    x = 15,486,361,995.42/201,098.90
  6. Step 6: Final answer
    x = 77,008.69

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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.