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Finding the Fourth Proportional to 286,525.06, 429,787.05 and 76,163.01

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Solution

The fourth proportional to 286,525.06, 429,787.05 and 76,163.01 is: 114,244.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,525.06 : 429,787.05 = 76,163.01 : x
  2. Step 2: Convert to fraction form
    286,525.06/429,787.05 = 76,163.01/x
  3. Step 3: Cross multiply
    286,525.06x = 429,787.05 × 76,163.01
  4. Step 4: Simplify right side
    286,525.06x = 32,733,875,387.02
  5. Step 5: Solve for x
    x = 32,733,875,387.02/286,525.06
  6. Step 6: Final answer
    x = 114,244.37

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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.