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Finding the Fourth Proportional to 101,503.20, 152,259.12 and 31,383.84

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Solution

The fourth proportional to 101,503.20, 152,259.12 and 31,383.84 is: 47,077.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,503.20 : 152,259.12 = 31,383.84 : x
  2. Step 2: Convert to fraction form
    101,503.20/152,259.12 = 31,383.84/x
  3. Step 3: Cross multiply
    101,503.20x = 152,259.12 × 31,383.84
  4. Step 4: Simplify right side
    101,503.20x = 4,778,475,860.62
  5. Step 5: Solve for x
    x = 4,778,475,860.62/101,503.20
  6. Step 6: Final answer
    x = 47,077.10

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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.