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Finding the Fourth Proportional to 205,362.40, 308,000.40 and 87,037.60

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Solution

The fourth proportional to 205,362.40, 308,000.40 and 87,037.60 is: 130,538.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,362.40 : 308,000.40 = 87,037.60 : x
  2. Step 2: Convert to fraction form
    205,362.40/308,000.40 = 87,037.60/x
  3. Step 3: Cross multiply
    205,362.40x = 308,000.40 × 87,037.60
  4. Step 4: Simplify right side
    205,362.40x = 26,807,615,615.04
  5. Step 5: Solve for x
    x = 26,807,615,615.04/205,362.40
  6. Step 6: Final answer
    x = 130,538.09

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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.