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Finding the Fourth Proportional to 137,479.94, 189,724.56 and 77,064.02

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Solution

The fourth proportional to 137,479.94, 189,724.56 and 77,064.02 is: 106,349.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,479.94 : 189,724.56 = 77,064.02 : x
  2. Step 2: Convert to fraction form
    137,479.94/189,724.56 = 77,064.02/x
  3. Step 3: Cross multiply
    137,479.94x = 189,724.56 × 77,064.02
  4. Step 4: Simplify right side
    137,479.94x = 14,620,937,286.33
  5. Step 5: Solve for x
    x = 14,620,937,286.33/137,479.94
  6. Step 6: Final answer
    x = 106,349.60

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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.