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Finding the Fourth Proportional to 101,800.86, 152,711.01 and 31,661.34

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Solution

The fourth proportional to 101,800.86, 152,711.01 and 31,661.34 is: 47,495.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,800.86 : 152,711.01 = 31,661.34 : x
  2. Step 2: Convert to fraction form
    101,800.86/152,711.01 = 31,661.34/x
  3. Step 3: Cross multiply
    101,800.86x = 152,711.01 × 31,661.34
  4. Step 4: Simplify right side
    101,800.86x = 4,835,035,209.35
  5. Step 5: Solve for x
    x = 4,835,035,209.35/101,800.86
  6. Step 6: Final answer
    x = 47,495.03

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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.