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Finding the Fourth Proportional to 77,378.40, 116,083.80 and 30,631.68

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Solution

The fourth proportional to 77,378.40, 116,083.80 and 30,631.68 is: 45,953.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,378.40 : 116,083.80 = 30,631.68 : x
  2. Step 2: Convert to fraction form
    77,378.40/116,083.80 = 30,631.68/x
  3. Step 3: Cross multiply
    77,378.40x = 116,083.80 × 30,631.68
  4. Step 4: Simplify right side
    77,378.40x = 3,555,841,814.78
  5. Step 5: Solve for x
    x = 3,555,841,814.78/77,378.40
  6. Step 6: Final answer
    x = 45,953.93

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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.