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Finding the Fourth Proportional to 161,570.73, 242,356.23 and 77,311.02

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Solution

The fourth proportional to 161,570.73, 242,356.23 and 77,311.02 is: 115,966.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,570.73 : 242,356.23 = 77,311.02 : x
  2. Step 2: Convert to fraction form
    161,570.73/242,356.23 = 77,311.02/x
  3. Step 3: Cross multiply
    161,570.73x = 242,356.23 × 77,311.02
  4. Step 4: Simplify right side
    161,570.73x = 18,736,807,344.65
  5. Step 5: Solve for x
    x = 18,736,807,344.65/161,570.73
  6. Step 6: Final answer
    x = 115,966.59

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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.