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Finding the Fourth Proportional to 242,029.60, 362,871.60 and 136,880.80

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Solution

The fourth proportional to 242,029.60, 362,871.60 and 136,880.80 is: 205,223.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,029.60 : 362,871.60 = 136,880.80 : x
  2. Step 2: Convert to fraction form
    242,029.60/362,871.60 = 136,880.80/x
  3. Step 3: Cross multiply
    242,029.60x = 362,871.60 × 136,880.80
  4. Step 4: Simplify right side
    242,029.60x = 49,670,154,905.28
  5. Step 5: Solve for x
    x = 49,670,154,905.28/242,029.60
  6. Step 6: Final answer
    x = 205,223.47

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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.