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Finding the Fourth Proportional to 242,420.91, 363,406.86 and 123,830.70

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Solution

The fourth proportional to 242,420.91, 363,406.86 and 123,830.70 is: 185,631.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,420.91 : 363,406.86 = 123,830.70 : x
  2. Step 2: Convert to fraction form
    242,420.91/363,406.86 = 123,830.70/x
  3. Step 3: Cross multiply
    242,420.91x = 363,406.86 × 123,830.70
  4. Step 4: Simplify right side
    242,420.91x = 45,000,925,858.60
  5. Step 5: Solve for x
    x = 45,000,925,858.60/242,420.91
  6. Step 6: Final answer
    x = 185,631.37

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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.