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Finding the Fourth Proportional to 242,163.14, 334,179.90 and 140,192.90

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Solution

The fourth proportional to 242,163.14, 334,179.90 and 140,192.90 is: 193,463.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,163.14 : 334,179.90 = 140,192.90 : x
  2. Step 2: Convert to fraction form
    242,163.14/334,179.90 = 140,192.90/x
  3. Step 3: Cross multiply
    242,163.14x = 334,179.90 × 140,192.90
  4. Step 4: Simplify right side
    242,163.14x = 46,849,649,302.71
  5. Step 5: Solve for x
    x = 46,849,649,302.71/242,163.14
  6. Step 6: Final answer
    x = 193,463.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.