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Finding the Fourth Proportional to 242,320, 334,398 and 134,889.84

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Solution

The fourth proportional to 242,320, 334,398 and 134,889.84 is: 186,145.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,320 : 334,398 = 134,889.84 : x
  2. Step 2: Convert to fraction form
    242,320/334,398 = 134,889.84/x
  3. Step 3: Cross multiply
    242,320x = 334,398 × 134,889.84
  4. Step 4: Simplify right side
    242,320x = 45,106,892,716.32
  5. Step 5: Solve for x
    x = 45,106,892,716.32/242,320
  6. Step 6: Final answer
    x = 186,145.98

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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.