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Finding the Fourth Proportional to 77,518.74, 106,992.53 and 47,297.58

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Solution

The fourth proportional to 77,518.74, 106,992.53 and 47,297.58 is: 65,280.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,518.74 : 106,992.53 = 47,297.58 : x
  2. Step 2: Convert to fraction form
    77,518.74/106,992.53 = 47,297.58/x
  3. Step 3: Cross multiply
    77,518.74x = 106,992.53 × 47,297.58
  4. Step 4: Simplify right side
    77,518.74x = 5,060,487,747.08
  5. Step 5: Solve for x
    x = 5,060,487,747.08/77,518.74
  6. Step 6: Final answer
    x = 65,280.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.