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Finding the Fourth Proportional to 65,248.56, 97,906.32 and 31,968

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Solution

The fourth proportional to 65,248.56, 97,906.32 and 31,968 is: 47,968.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,248.56 : 97,906.32 = 31,968 : x
  2. Step 2: Convert to fraction form
    65,248.56/97,906.32 = 31,968/x
  3. Step 3: Cross multiply
    65,248.56x = 97,906.32 × 31,968
  4. Step 4: Simplify right side
    65,248.56x = 3,129,869,237.76
  5. Step 5: Solve for x
    x = 3,129,869,237.76/65,248.56
  6. Step 6: Final answer
    x = 47,968.40

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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.