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Finding the Fourth Proportional to 205,365.40, 308,004.90 and 87,040.60

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Solution

The fourth proportional to 205,365.40, 308,004.90 and 87,040.60 is: 130,542.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,365.40 : 308,004.90 = 87,040.60 : x
  2. Step 2: Convert to fraction form
    205,365.40/308,004.90 = 87,040.60/x
  3. Step 3: Cross multiply
    205,365.40x = 308,004.90 × 87,040.60
  4. Step 4: Simplify right side
    205,365.40x = 26,808,931,298.94
  5. Step 5: Solve for x
    x = 26,808,931,298.94/205,365.40
  6. Step 6: Final answer
    x = 130,542.59

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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.