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Finding the Fourth Proportional to 145,862, 201,289.52 and 82,202.08

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Solution

The fourth proportional to 145,862, 201,289.52 and 82,202.08 is: 113,438.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,862 : 201,289.52 = 82,202.08 : x
  2. Step 2: Convert to fraction form
    145,862/201,289.52 = 82,202.08/x
  3. Step 3: Cross multiply
    145,862x = 201,289.52 × 82,202.08
  4. Step 4: Simplify right side
    145,862x = 16,546,417,226.20
  5. Step 5: Solve for x
    x = 16,546,417,226.20/145,862
  6. Step 6: Final answer
    x = 113,438.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.