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Finding the Fourth Proportional to 156,965.65, 234,956.40 and 112,678.90

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Solution

The fourth proportional to 156,965.65, 234,956.40 and 112,678.90 is: 168,665.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,965.65 : 234,956.40 = 112,678.90 : x
  2. Step 2: Convert to fraction form
    156,965.65/234,956.40 = 112,678.90/x
  3. Step 3: Cross multiply
    156,965.65x = 234,956.40 × 112,678.90
  4. Step 4: Simplify right side
    156,965.65x = 26,474,628,699.96
  5. Step 5: Solve for x
    x = 26,474,628,699.96/156,965.65
  6. Step 6: Final answer
    x = 168,665.11

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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.