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Finding the Fourth Proportional to 109,539.91, 164,211.42 and 39,370

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Solution

The fourth proportional to 109,539.91, 164,211.42 and 39,370 is: 59,019.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,539.91 : 164,211.42 = 39,370 : x
  2. Step 2: Convert to fraction form
    109,539.91/164,211.42 = 39,370/x
  3. Step 3: Cross multiply
    109,539.91x = 164,211.42 × 39,370
  4. Step 4: Simplify right side
    109,539.91x = 6,465,003,605.40
  5. Step 5: Solve for x
    x = 6,465,003,605.40/109,539.91
  6. Step 6: Final answer
    x = 59,019.62

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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.