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Finding the Fourth Proportional to 242,986.79, 364,483.42 and 85,219.85

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Solution

The fourth proportional to 242,986.79, 364,483.42 and 85,219.85 is: 127,830.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,986.79 : 364,483.42 = 85,219.85 : x
  2. Step 2: Convert to fraction form
    242,986.79/364,483.42 = 85,219.85/x
  3. Step 3: Cross multiply
    242,986.79x = 364,483.42 × 85,219.85
  4. Step 4: Simplify right side
    242,986.79x = 31,061,220,344.42
  5. Step 5: Solve for x
    x = 31,061,220,344.42/242,986.79
  6. Step 6: Final answer
    x = 127,830.90

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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.