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Finding the Fourth Proportional to 101,977.47, 152,965.62 and 39,647.97

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Solution

The fourth proportional to 101,977.47, 152,965.62 and 39,647.97 is: 59,471.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,977.47 : 152,965.62 = 39,647.97 : x
  2. Step 2: Convert to fraction form
    101,977.47/152,965.62 = 39,647.97/x
  3. Step 3: Cross multiply
    101,977.47x = 152,965.62 × 39,647.97
  4. Step 4: Simplify right side
    101,977.47x = 6,064,776,312.79
  5. Step 5: Solve for x
    x = 6,064,776,312.79/101,977.47
  6. Step 6: Final answer
    x = 59,471.73

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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.