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Finding the Fourth Proportional to 201,779.15, 302,461.11 and 89,512.25

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Solution

The fourth proportional to 201,779.15, 302,461.11 and 89,512.25 is: 134,176.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,779.15 : 302,461.11 = 89,512.25 : x
  2. Step 2: Convert to fraction form
    201,779.15/302,461.11 = 89,512.25/x
  3. Step 3: Cross multiply
    201,779.15x = 302,461.11 × 89,512.25
  4. Step 4: Simplify right side
    201,779.15x = 27,073,972,981.29
  5. Step 5: Solve for x
    x = 27,073,972,981.29/201,779.15
  6. Step 6: Final answer
    x = 134,176.27

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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.