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Finding the Fourth Proportional to 137,436.63, 189,660.15 and 77,007.08

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Solution

The fourth proportional to 137,436.63, 189,660.15 and 77,007.08 is: 106,268.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,436.63 : 189,660.15 = 77,007.08 : x
  2. Step 2: Convert to fraction form
    137,436.63/189,660.15 = 77,007.08/x
  3. Step 3: Cross multiply
    137,436.63x = 189,660.15 × 77,007.08
  4. Step 4: Simplify right side
    137,436.63x = 14,605,174,818.01
  5. Step 5: Solve for x
    x = 14,605,174,818.01/137,436.63
  6. Step 6: Final answer
    x = 106,268.43

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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.