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Finding the Fourth Proportional to 101,710, 152,565 and 39,380.50

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Solution

The fourth proportional to 101,710, 152,565 and 39,380.50 is: 59,070.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,710 : 152,565 = 39,380.50 : x
  2. Step 2: Convert to fraction form
    101,710/152,565 = 39,380.50/x
  3. Step 3: Cross multiply
    101,710x = 152,565 × 39,380.50
  4. Step 4: Simplify right side
    101,710x = 6,008,085,982.50
  5. Step 5: Solve for x
    x = 6,008,085,982.50/101,710
  6. Step 6: Final answer
    x = 59,070.75

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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.