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Finding the Fourth Proportional to 204,865.60, 307,341.60 and 64,638.40

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Solution

The fourth proportional to 204,865.60, 307,341.60 and 64,638.40 is: 96,971.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,865.60 : 307,341.60 = 64,638.40 : x
  2. Step 2: Convert to fraction form
    204,865.60/307,341.60 = 64,638.40/x
  3. Step 3: Cross multiply
    204,865.60x = 307,341.60 × 64,638.40
  4. Step 4: Simplify right side
    204,865.60x = 19,866,069,277.44
  5. Step 5: Solve for x
    x = 19,866,069,277.44/204,865.60
  6. Step 6: Final answer
    x = 96,971.23

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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.