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Finding the Fourth Proportional to 110,490, 165,719.88 and 31,611.12

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Solution

The fourth proportional to 110,490, 165,719.88 and 31,611.12 is: 47,412.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,490 : 165,719.88 = 31,611.12 : x
  2. Step 2: Convert to fraction form
    110,490/165,719.88 = 31,611.12/x
  3. Step 3: Cross multiply
    110,490x = 165,719.88 × 31,611.12
  4. Step 4: Simplify right side
    110,490x = 5,238,591,013.07
  5. Step 5: Solve for x
    x = 5,238,591,013.07/110,490
  6. Step 6: Final answer
    x = 47,412.35

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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.