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Finding the Fourth Proportional to 78,246.30, 117,278.79 and 36,037.81

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Solution

The fourth proportional to 78,246.30, 117,278.79 and 36,037.81 is: 54,014.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,246.30 : 117,278.79 = 36,037.81 : x
  2. Step 2: Convert to fraction form
    78,246.30/117,278.79 = 36,037.81/x
  3. Step 3: Cross multiply
    78,246.30x = 117,278.79 × 36,037.81
  4. Step 4: Simplify right side
    78,246.30x = 4,226,470,762.51
  5. Step 5: Solve for x
    x = 4,226,470,762.51/78,246.30
  6. Step 6: Final answer
    x = 54,014.96

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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.