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Finding the Fourth Proportional to 77,406.40, 106,832.72 and 43,428.64

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Solution

The fourth proportional to 77,406.40, 106,832.72 and 43,428.64 is: 59,938.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,406.40 : 106,832.72 = 43,428.64 : x
  2. Step 2: Convert to fraction form
    77,406.40/106,832.72 = 43,428.64/x
  3. Step 3: Cross multiply
    77,406.40x = 106,832.72 × 43,428.64
  4. Step 4: Simplify right side
    77,406.40x = 4,639,599,737.10
  5. Step 5: Solve for x
    x = 4,639,599,737.10/77,406.40
  6. Step 6: Final answer
    x = 59,938.19

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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.