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Finding the Fourth Proportional to 211,201.60, 316,802.40 and 111,323.20

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Solution

The fourth proportional to 211,201.60, 316,802.40 and 111,323.20 is: 166,984.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,201.60 : 316,802.40 = 111,323.20 : x
  2. Step 2: Convert to fraction form
    211,201.60/316,802.40 = 111,323.20/x
  3. Step 3: Cross multiply
    211,201.60x = 316,802.40 × 111,323.20
  4. Step 4: Simplify right side
    211,201.60x = 35,267,456,935.68
  5. Step 5: Solve for x
    x = 35,267,456,935.68/211,201.60
  6. Step 6: Final answer
    x = 166,984.80

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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.