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Finding the Fourth Proportional to 85,862.88, 128,794.68 and 30,420

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Solution

The fourth proportional to 85,862.88, 128,794.68 and 30,420 is: 45,630.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,862.88 : 128,794.68 = 30,420 : x
  2. Step 2: Convert to fraction form
    85,862.88/128,794.68 = 30,420/x
  3. Step 3: Cross multiply
    85,862.88x = 128,794.68 × 30,420
  4. Step 4: Simplify right side
    85,862.88x = 3,917,934,165.60
  5. Step 5: Solve for x
    x = 3,917,934,165.60/85,862.88
  6. Step 6: Final answer
    x = 45,630.13

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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.