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Finding the Fourth Proportional to 77,671, 107,194.80 and 43,219.18

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Solution

The fourth proportional to 77,671, 107,194.80 and 43,219.18 is: 59,647.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,671 : 107,194.80 = 43,219.18 : x
  2. Step 2: Convert to fraction form
    77,671/107,194.80 = 43,219.18/x
  3. Step 3: Cross multiply
    77,671x = 107,194.80 × 43,219.18
  4. Step 4: Simplify right side
    77,671x = 4,632,871,356.26
  5. Step 5: Solve for x
    x = 4,632,871,356.26/77,671
  6. Step 6: Final answer
    x = 59,647.38

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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.