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Finding the Fourth Proportional to 137,477.94, 189,721.80 and 77,062.02

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Solution

The fourth proportional to 137,477.94, 189,721.80 and 77,062.02 is: 106,346.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,477.94 : 189,721.80 = 77,062.02 : x
  2. Step 2: Convert to fraction form
    137,477.94/189,721.80 = 77,062.02/x
  3. Step 3: Cross multiply
    137,477.94x = 189,721.80 × 77,062.02
  4. Step 4: Simplify right side
    137,477.94x = 14,620,345,146.04
  5. Step 5: Solve for x
    x = 14,620,345,146.04/137,477.94
  6. Step 6: Final answer
    x = 106,346.84

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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.