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Finding the Fourth Proportional to 117,323.31, 161,863.74 and 77,058.90

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Solution

The fourth proportional to 117,323.31, 161,863.74 and 77,058.90 is: 106,313.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,323.31 : 161,863.74 = 77,058.90 : x
  2. Step 2: Convert to fraction form
    117,323.31/161,863.74 = 77,058.90/x
  3. Step 3: Cross multiply
    117,323.31x = 161,863.74 × 77,058.90
  4. Step 4: Simplify right side
    117,323.31x = 12,473,041,754.29
  5. Step 5: Solve for x
    x = 12,473,041,754.29/117,323.31
  6. Step 6: Final answer
    x = 106,313.42

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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.