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Finding the Fourth Proportional to 65,915.20, 98,905.20 and 30,848.80

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Solution

The fourth proportional to 65,915.20, 98,905.20 and 30,848.80 is: 46,288.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,915.20 : 98,905.20 = 30,848.80 : x
  2. Step 2: Convert to fraction form
    65,915.20/98,905.20 = 30,848.80/x
  3. Step 3: Cross multiply
    65,915.20x = 98,905.20 × 30,848.80
  4. Step 4: Simplify right side
    65,915.20x = 3,051,106,733.76
  5. Step 5: Solve for x
    x = 3,051,106,733.76/65,915.20
  6. Step 6: Final answer
    x = 46,288.36

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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.