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Finding the Fourth Proportional to 161,710.80, 242,566.20 and 81,994.65

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Solution

The fourth proportional to 161,710.80, 242,566.20 and 81,994.65 is: 122,991.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,710.80 : 242,566.20 = 81,994.65 : x
  2. Step 2: Convert to fraction form
    161,710.80/242,566.20 = 81,994.65/x
  3. Step 3: Cross multiply
    161,710.80x = 242,566.20 × 81,994.65
  4. Step 4: Simplify right side
    161,710.80x = 19,889,130,670.83
  5. Step 5: Solve for x
    x = 19,889,130,670.83/161,710.80
  6. Step 6: Final answer
    x = 122,991.98

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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.