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Finding the Fourth Proportional to 286,520.08, 429,779.52 and 76,158

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Solution

The fourth proportional to 286,520.08, 429,779.52 and 76,158 is: 114,236.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,520.08 : 429,779.52 = 76,158 : x
  2. Step 2: Convert to fraction form
    286,520.08/429,779.52 = 76,158/x
  3. Step 3: Cross multiply
    286,520.08x = 429,779.52 × 76,158
  4. Step 4: Simplify right side
    286,520.08x = 32,731,148,684.16
  5. Step 5: Solve for x
    x = 32,731,148,684.16/286,520.08
  6. Step 6: Final answer
    x = 114,236.84

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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.