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Finding the Fourth Proportional to 117,753.49, 162,417.47 and 77,454.37

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Solution

The fourth proportional to 117,753.49, 162,417.47 and 77,454.37 is: 106,832.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,753.49 : 162,417.47 = 77,454.37 : x
  2. Step 2: Convert to fraction form
    117,753.49/162,417.47 = 77,454.37/x
  3. Step 3: Cross multiply
    117,753.49x = 162,417.47 × 77,454.37
  4. Step 4: Simplify right side
    117,753.49x = 12,579,942,815.84
  5. Step 5: Solve for x
    x = 12,579,942,815.84/117,753.49
  6. Step 6: Final answer
    x = 106,832.87

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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.