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Finding the Fourth Proportional to 101,902.86, 152,864.01 and 39,578.22

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Solution

The fourth proportional to 101,902.86, 152,864.01 and 39,578.22 is: 59,371.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,902.86 : 152,864.01 = 39,578.22 : x
  2. Step 2: Convert to fraction form
    101,902.86/152,864.01 = 39,578.22/x
  3. Step 3: Cross multiply
    101,902.86x = 152,864.01 × 39,578.22
  4. Step 4: Simplify right side
    101,902.86x = 6,050,085,417.86
  5. Step 5: Solve for x
    x = 6,050,085,417.86/101,902.86
  6. Step 6: Final answer
    x = 59,371.11

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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.