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Finding the Fourth Proportional to 77,801.73, 107,368.52 and 47,586.51

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Solution

The fourth proportional to 77,801.73, 107,368.52 and 47,586.51 is: 65,670.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,801.73 : 107,368.52 = 47,586.51 : x
  2. Step 2: Convert to fraction form
    77,801.73/107,368.52 = 47,586.51/x
  3. Step 3: Cross multiply
    77,801.73x = 107,368.52 × 47,586.51
  4. Step 4: Simplify right side
    77,801.73x = 5,109,292,912.73
  5. Step 5: Solve for x
    x = 5,109,292,912.73/77,801.73
  6. Step 6: Final answer
    x = 65,670.69

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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.