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Finding the Fourth Proportional to 286,516.08, 429,773.52 and 76,154

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Solution

The fourth proportional to 286,516.08, 429,773.52 and 76,154 is: 114,230.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,516.08 : 429,773.52 = 76,154 : x
  2. Step 2: Convert to fraction form
    286,516.08/429,773.52 = 76,154/x
  3. Step 3: Cross multiply
    286,516.08x = 429,773.52 × 76,154
  4. Step 4: Simplify right side
    286,516.08x = 32,728,972,642.08
  5. Step 5: Solve for x
    x = 32,728,972,642.08/286,516.08
  6. Step 6: Final answer
    x = 114,230.84

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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.