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Finding the Fourth Proportional to 242,128, 334,136.64 and 136,144

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Solution

The fourth proportional to 242,128, 334,136.64 and 136,144 is: 187,878.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,128 : 334,136.64 = 136,144 : x
  2. Step 2: Convert to fraction form
    242,128/334,136.64 = 136,144/x
  3. Step 3: Cross multiply
    242,128x = 334,136.64 × 136,144
  4. Step 4: Simplify right side
    242,128x = 45,490,698,716.16
  5. Step 5: Solve for x
    x = 45,490,698,716.16/242,128
  6. Step 6: Final answer
    x = 187,878.72

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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.