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Finding the Fourth Proportional to 245,011.64, 367,284.18 and 78,683

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Solution

The fourth proportional to 245,011.64, 367,284.18 and 78,683 is: 117,949.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,011.64 : 367,284.18 = 78,683 : x
  2. Step 2: Convert to fraction form
    245,011.64/367,284.18 = 78,683/x
  3. Step 3: Cross multiply
    245,011.64x = 367,284.18 × 78,683
  4. Step 4: Simplify right side
    245,011.64x = 28,899,021,134.94
  5. Step 5: Solve for x
    x = 28,899,021,134.94/245,011.64
  6. Step 6: Final answer
    x = 117,949.58

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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.