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Finding the Fourth Proportional to 145,796.76, 217,896.29 and 106,436.76

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Solution

The fourth proportional to 145,796.76, 217,896.29 and 106,436.76 is: 159,071.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,796.76 : 217,896.29 = 106,436.76 : x
  2. Step 2: Convert to fraction form
    145,796.76/217,896.29 = 106,436.76/x
  3. Step 3: Cross multiply
    145,796.76x = 217,896.29 × 106,436.76
  4. Step 4: Simplify right side
    145,796.76x = 23,192,175,123.62
  5. Step 5: Solve for x
    x = 23,192,175,123.62/145,796.76
  6. Step 6: Final answer
    x = 159,071.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.