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Finding the Fourth Proportional to 286,518.08, 429,776.52 and 76,156

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Solution

The fourth proportional to 286,518.08, 429,776.52 and 76,156 is: 114,233.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,518.08 : 429,776.52 = 76,156 : x
  2. Step 2: Convert to fraction form
    286,518.08/429,776.52 = 76,156/x
  3. Step 3: Cross multiply
    286,518.08x = 429,776.52 × 76,156
  4. Step 4: Simplify right side
    286,518.08x = 32,730,060,657.12
  5. Step 5: Solve for x
    x = 32,730,060,657.12/286,518.08
  6. Step 6: Final answer
    x = 114,233.84

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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.