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Finding the Fourth Proportional to 77,071, 106,366.62 and 43,539.16

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Solution

The fourth proportional to 77,071, 106,366.62 and 43,539.16 is: 60,088.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,071 : 106,366.62 = 43,539.16 : x
  2. Step 2: Convert to fraction form
    77,071/106,366.62 = 43,539.16/x
  3. Step 3: Cross multiply
    77,071x = 106,366.62 × 43,539.16
  4. Step 4: Simplify right side
    77,071x = 4,631,113,286.84
  5. Step 5: Solve for x
    x = 4,631,113,286.84/77,071
  6. Step 6: Final answer
    x = 60,088.92

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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.