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Finding the Fourth Proportional to 156,971.20, 235,111.20 and 136,235.20

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Solution

The fourth proportional to 156,971.20, 235,111.20 and 136,235.20 is: 204,052.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,971.20 : 235,111.20 = 136,235.20 : x
  2. Step 2: Convert to fraction form
    156,971.20/235,111.20 = 136,235.20/x
  3. Step 3: Cross multiply
    156,971.20x = 235,111.20 × 136,235.20
  4. Step 4: Simplify right side
    156,971.20x = 32,030,421,354.24
  5. Step 5: Solve for x
    x = 32,030,421,354.24/156,971.20
  6. Step 6: Final answer
    x = 204,052.85

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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.