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Finding the Fourth Proportional to 117,322.32, 161,862.36 and 77,057.92

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Solution

The fourth proportional to 117,322.32, 161,862.36 and 77,057.92 is: 106,312.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,322.32 : 161,862.36 = 77,057.92 : x
  2. Step 2: Convert to fraction form
    117,322.32/161,862.36 = 77,057.92/x
  3. Step 3: Cross multiply
    117,322.32x = 161,862.36 × 77,057.92
  4. Step 4: Simplify right side
    117,322.32x = 12,472,776,787.89
  5. Step 5: Solve for x
    x = 12,472,776,787.89/117,322.32
  6. Step 6: Final answer
    x = 106,312.05

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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.