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Finding the Fourth Proportional to 205,142.40, 307,684.80 and 64,915.20

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Solution

The fourth proportional to 205,142.40, 307,684.80 and 64,915.20 is: 97,363.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,142.40 : 307,684.80 = 64,915.20 : x
  2. Step 2: Convert to fraction form
    205,142.40/307,684.80 = 64,915.20/x
  3. Step 3: Cross multiply
    205,142.40x = 307,684.80 × 64,915.20
  4. Step 4: Simplify right side
    205,142.40x = 19,973,420,328.96
  5. Step 5: Solve for x
    x = 19,973,420,328.96/205,142.40
  6. Step 6: Final answer
    x = 97,363.69

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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.