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Finding the Fourth Proportional to 201,641.92, 302,531.28 and 89,307.04

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Solution

The fourth proportional to 201,641.92, 302,531.28 and 89,307.04 is: 133,990.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,641.92 : 302,531.28 = 89,307.04 : x
  2. Step 2: Convert to fraction form
    201,641.92/302,531.28 = 89,307.04/x
  3. Step 3: Cross multiply
    201,641.92x = 302,531.28 × 89,307.04
  4. Step 4: Simplify right side
    201,641.92x = 27,018,173,124.21
  5. Step 5: Solve for x
    x = 27,018,173,124.21/201,641.92
  6. Step 6: Final answer
    x = 133,990.85

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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.