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Finding the Fourth Proportional to 101,710.50, 152,565.75 and 39,381

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Solution

The fourth proportional to 101,710.50, 152,565.75 and 39,381 is: 59,071.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,710.50 : 152,565.75 = 39,381 : x
  2. Step 2: Convert to fraction form
    101,710.50/152,565.75 = 39,381/x
  3. Step 3: Cross multiply
    101,710.50x = 152,565.75 × 39,381
  4. Step 4: Simplify right side
    101,710.50x = 6,008,191,800.75
  5. Step 5: Solve for x
    x = 6,008,191,800.75/101,710.50
  6. Step 6: Final answer
    x = 59,071.50

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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.