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Finding the Fourth Proportional to 242,860.10, 364,022.85 and 85,007.30

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Solution

The fourth proportional to 242,860.10, 364,022.85 and 85,007.30 is: 127,417.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,860.10 : 364,022.85 = 85,007.30 : x
  2. Step 2: Convert to fraction form
    242,860.10/364,022.85 = 85,007.30/x
  3. Step 3: Cross multiply
    242,860.10x = 364,022.85 × 85,007.30
  4. Step 4: Simplify right side
    242,860.10x = 30,944,599,616.81
  5. Step 5: Solve for x
    x = 30,944,599,616.81/242,860.10
  6. Step 6: Final answer
    x = 127,417.39

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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.