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Finding the Fourth Proportional to 77,170, 115,754.72 and 24,583.72

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Solution

The fourth proportional to 77,170, 115,754.72 and 24,583.72 is: 36,875.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,170 : 115,754.72 = 24,583.72 : x
  2. Step 2: Convert to fraction form
    77,170/115,754.72 = 24,583.72/x
  3. Step 3: Cross multiply
    77,170x = 115,754.72 × 24,583.72
  4. Step 4: Simplify right side
    77,170x = 2,845,681,625.16
  5. Step 5: Solve for x
    x = 2,845,681,625.16/77,170
  6. Step 6: Final answer
    x = 36,875.49

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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.