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Finding the Fourth Proportional to 77,110.70, 115,666.05 and 35,638.70

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Solution

The fourth proportional to 77,110.70, 115,666.05 and 35,638.70 is: 53,458.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,110.70 : 115,666.05 = 35,638.70 : x
  2. Step 2: Convert to fraction form
    77,110.70/115,666.05 = 35,638.70/x
  3. Step 3: Cross multiply
    77,110.70x = 115,666.05 × 35,638.70
  4. Step 4: Simplify right side
    77,110.70x = 4,122,187,656.14
  5. Step 5: Solve for x
    x = 4,122,187,656.14/77,110.70
  6. Step 6: Final answer
    x = 53,458.05

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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.