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Finding the Fourth Proportional to 205,076.70, 307,615.05 and 120,750.30

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Solution

The fourth proportional to 205,076.70, 307,615.05 and 120,750.30 is: 181,125.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,076.70 : 307,615.05 = 120,750.30 : x
  2. Step 2: Convert to fraction form
    205,076.70/307,615.05 = 120,750.30/x
  3. Step 3: Cross multiply
    205,076.70x = 307,615.05 × 120,750.30
  4. Step 4: Simplify right side
    205,076.70x = 37,144,609,572.02
  5. Step 5: Solve for x
    x = 37,144,609,572.02/205,076.70
  6. Step 6: Final answer
    x = 181,125.45

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1.5x scale

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.