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Finding the Fourth Proportional to 245,010.64, 367,282.68 and 78,682

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Solution

The fourth proportional to 245,010.64, 367,282.68 and 78,682 is: 117,948.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,010.64 : 367,282.68 = 78,682 : x
  2. Step 2: Convert to fraction form
    245,010.64/367,282.68 = 78,682/x
  3. Step 3: Cross multiply
    245,010.64x = 367,282.68 × 78,682
  4. Step 4: Simplify right side
    245,010.64x = 28,898,535,827.76
  5. Step 5: Solve for x
    x = 28,898,535,827.76/245,010.64
  6. Step 6: Final answer
    x = 117,948.09

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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.