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Finding the Fourth Proportional to 56,487.98, 77,950.78 and 30,993.77

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Solution

The fourth proportional to 56,487.98, 77,950.78 and 30,993.77 is: 42,769.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,487.98 : 77,950.78 = 30,993.77 : x
  2. Step 2: Convert to fraction form
    56,487.98/77,950.78 = 30,993.77/x
  3. Step 3: Cross multiply
    56,487.98x = 77,950.78 × 30,993.77
  4. Step 4: Simplify right side
    56,487.98x = 2,415,988,546.64
  5. Step 5: Solve for x
    x = 2,415,988,546.64/56,487.98
  6. Step 6: Final answer
    x = 42,769.96

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1.5x scale

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.