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Finding the Fourth Proportional to 161,956.62, 242,934.93 and 83,020.50

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Solution

The fourth proportional to 161,956.62, 242,934.93 and 83,020.50 is: 124,530.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,956.62 : 242,934.93 = 83,020.50 : x
  2. Step 2: Convert to fraction form
    161,956.62/242,934.93 = 83,020.50/x
  3. Step 3: Cross multiply
    161,956.62x = 242,934.93 × 83,020.50
  4. Step 4: Simplify right side
    161,956.62x = 20,168,579,356.07
  5. Step 5: Solve for x
    x = 20,168,579,356.07/161,956.62
  6. Step 6: Final answer
    x = 124,530.75

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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.