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Finding the Fourth Proportional to 109,987.50, 164,981.26 and 39,866.88

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Solution

The fourth proportional to 109,987.50, 164,981.26 and 39,866.88 is: 59,800.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,987.50 : 164,981.26 = 39,866.88 : x
  2. Step 2: Convert to fraction form
    109,987.50/164,981.26 = 39,866.88/x
  3. Step 3: Cross multiply
    109,987.50x = 164,981.26 × 39,866.88
  4. Step 4: Simplify right side
    109,987.50x = 6,577,288,094.67
  5. Step 5: Solve for x
    x = 6,577,288,094.67/109,987.50
  6. Step 6: Final answer
    x = 59,800.32

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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.