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Finding the Fourth Proportional to 209,901.60, 314,852.40 and 110,023.20

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Solution

The fourth proportional to 209,901.60, 314,852.40 and 110,023.20 is: 165,034.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,901.60 : 314,852.40 = 110,023.20 : x
  2. Step 2: Convert to fraction form
    209,901.60/314,852.40 = 110,023.20/x
  3. Step 3: Cross multiply
    209,901.60x = 314,852.40 × 110,023.20
  4. Step 4: Simplify right side
    209,901.60x = 34,641,068,575.68
  5. Step 5: Solve for x
    x = 34,641,068,575.68/209,901.60
  6. Step 6: Final answer
    x = 165,034.80

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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.