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Finding the Fourth Proportional to 161,678.66, 242,434.83 and 86,861.84

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Solution

The fourth proportional to 161,678.66, 242,434.83 and 86,861.84 is: 130,248.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,678.66 : 242,434.83 = 86,861.84 : x
  2. Step 2: Convert to fraction form
    161,678.66/242,434.83 = 86,861.84/x
  3. Step 3: Cross multiply
    161,678.66x = 242,434.83 × 86,861.84
  4. Step 4: Simplify right side
    161,678.66x = 21,058,335,413.89
  5. Step 5: Solve for x
    x = 21,058,335,413.89/161,678.66
  6. Step 6: Final answer
    x = 130,248.08

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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.