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Finding the Fourth Proportional to 242,085.60, 362,955.60 and 136,936.80

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Solution

The fourth proportional to 242,085.60, 362,955.60 and 136,936.80 is: 205,307.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,085.60 : 362,955.60 = 136,936.80 : x
  2. Step 2: Convert to fraction form
    242,085.60/362,955.60 = 136,936.80/x
  3. Step 3: Cross multiply
    242,085.60x = 362,955.60 × 136,936.80
  4. Step 4: Simplify right side
    242,085.60x = 49,701,978,406.08
  5. Step 5: Solve for x
    x = 49,701,978,406.08/242,085.60
  6. Step 6: Final answer
    x = 205,307.45

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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.