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Finding the Fourth Proportional to 242,642.70, 364,292.10 and 154,069.20

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Solution

The fourth proportional to 242,642.70, 364,292.10 and 154,069.20 is: 231,312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,642.70 : 364,292.10 = 154,069.20 : x
  2. Step 2: Convert to fraction form
    242,642.70/364,292.10 = 154,069.20/x
  3. Step 3: Cross multiply
    242,642.70x = 364,292.10 × 154,069.20
  4. Step 4: Simplify right side
    242,642.70x = 56,126,192,413.32
  5. Step 5: Solve for x
    x = 56,126,192,413.32/242,642.70
  6. Step 6: Final answer
    x = 231,312.10

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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.