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Finding the Fourth Proportional to 161,604.42, 242,406.72 and 77,344.78

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Solution

The fourth proportional to 161,604.42, 242,406.72 and 77,344.78 is: 116,017.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,604.42 : 242,406.72 = 77,344.78 : x
  2. Step 2: Convert to fraction form
    161,604.42/242,406.72 = 77,344.78/x
  3. Step 3: Cross multiply
    161,604.42x = 242,406.72 × 77,344.78
  4. Step 4: Simplify right side
    161,604.42x = 18,748,894,428.92
  5. Step 5: Solve for x
    x = 18,748,894,428.92/161,604.42
  6. Step 6: Final answer
    x = 116,017.21

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1.5x scale

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.