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Finding the Fourth Proportional to 77,604.35, 116,428.01 and 30,890.03

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Solution

The fourth proportional to 77,604.35, 116,428.01 and 30,890.03 is: 46,343.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,604.35 : 116,428.01 = 30,890.03 : x
  2. Step 2: Convert to fraction form
    77,604.35/116,428.01 = 30,890.03/x
  3. Step 3: Cross multiply
    77,604.35x = 116,428.01 × 30,890.03
  4. Step 4: Simplify right side
    77,604.35x = 3,596,463,985.15
  5. Step 5: Solve for x
    x = 3,596,463,985.15/77,604.35
  6. Step 6: Final answer
    x = 46,343.59

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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.