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Finding the Fourth Proportional to 242,957.20, 364,435.80 and 85,201.60

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Solution

The fourth proportional to 242,957.20, 364,435.80 and 85,201.60 is: 127,802.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,957.20 : 364,435.80 = 85,201.60 : x
  2. Step 2: Convert to fraction form
    242,957.20/364,435.80 = 85,201.60/x
  3. Step 3: Cross multiply
    242,957.20x = 364,435.80 × 85,201.60
  4. Step 4: Simplify right side
    242,957.20x = 31,050,513,257.28
  5. Step 5: Solve for x
    x = 31,050,513,257.28/242,957.20
  6. Step 6: Final answer
    x = 127,802.40

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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.