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Finding the Fourth Proportional to 161,886.70, 242,724.93 and 77,644.90

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Solution

The fourth proportional to 161,886.70, 242,724.93 and 77,644.90 is: 116,416.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,886.70 : 242,724.93 = 77,644.90 : x
  2. Step 2: Convert to fraction form
    161,886.70/242,724.93 = 77,644.90/x
  3. Step 3: Cross multiply
    161,886.70x = 242,724.93 × 77,644.90
  4. Step 4: Simplify right side
    161,886.70x = 18,846,352,917.36
  5. Step 5: Solve for x
    x = 18,846,352,917.36/161,886.70
  6. Step 6: Final answer
    x = 116,416.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.