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Finding the Fourth Proportional to 205,275.60, 307,913.40 and 121,294.80

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Solution

The fourth proportional to 205,275.60, 307,913.40 and 121,294.80 is: 181,942.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,275.60 : 307,913.40 = 121,294.80 : x
  2. Step 2: Convert to fraction form
    205,275.60/307,913.40 = 121,294.80/x
  3. Step 3: Cross multiply
    205,275.60x = 307,913.40 × 121,294.80
  4. Step 4: Simplify right side
    205,275.60x = 37,348,294,270.32
  5. Step 5: Solve for x
    x = 37,348,294,270.32/205,275.60
  6. Step 6: Final answer
    x = 181,942.20

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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.