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Finding the Fourth Proportional to 201,717.70, 301,920.45 and 157,102.90

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Solution

The fourth proportional to 201,717.70, 301,920.45 and 157,102.90 is: 235,143.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,717.70 : 301,920.45 = 157,102.90 : x
  2. Step 2: Convert to fraction form
    201,717.70/301,920.45 = 157,102.90/x
  3. Step 3: Cross multiply
    201,717.70x = 301,920.45 × 157,102.90
  4. Step 4: Simplify right side
    201,717.70x = 47,432,578,264.31
  5. Step 5: Solve for x
    x = 47,432,578,264.31/201,717.70
  6. Step 6: Final answer
    x = 235,143.36

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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.