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Finding the Fourth Proportional to 77,290.74, 115,737.75 and 53,564.49

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Solution

The fourth proportional to 77,290.74, 115,737.75 and 53,564.49 is: 80,209.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,290.74 : 115,737.75 = 53,564.49 : x
  2. Step 2: Convert to fraction form
    77,290.74/115,737.75 = 53,564.49/x
  3. Step 3: Cross multiply
    77,290.74x = 115,737.75 × 53,564.49
  4. Step 4: Simplify right side
    77,290.74x = 6,199,433,552.50
  5. Step 5: Solve for x
    x = 6,199,433,552.50/77,290.74
  6. Step 6: Final answer
    x = 80,209.27

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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.