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Finding the Fourth Proportional to 110,281.60, 165,422.40 and 105,212.80

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Solution

The fourth proportional to 110,281.60, 165,422.40 and 105,212.80 is: 157,819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,281.60 : 165,422.40 = 105,212.80 : x
  2. Step 2: Convert to fraction form
    110,281.60/165,422.40 = 105,212.80/x
  3. Step 3: Cross multiply
    110,281.60x = 165,422.40 × 105,212.80
  4. Step 4: Simplify right side
    110,281.60x = 17,404,553,886.72
  5. Step 5: Solve for x
    x = 17,404,553,886.72/110,281.60
  6. Step 6: Final answer
    x = 157,819.20

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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.