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Finding the Fourth Proportional to 77,301, 106,675.50 and 43,773.48

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Solution

The fourth proportional to 77,301, 106,675.50 and 43,773.48 is: 60,407.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,301 : 106,675.50 = 43,773.48 : x
  2. Step 2: Convert to fraction form
    77,301/106,675.50 = 43,773.48/x
  3. Step 3: Cross multiply
    77,301x = 106,675.50 × 43,773.48
  4. Step 4: Simplify right side
    77,301x = 4,669,557,865.74
  5. Step 5: Solve for x
    x = 4,669,557,865.74/77,301
  6. Step 6: Final answer
    x = 60,407.47

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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.