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Finding the Fourth Proportional to 65,355.78, 97,905.24 and 43,101.30

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Solution

The fourth proportional to 65,355.78, 97,905.24 and 43,101.30 is: 64,567.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,355.78 : 97,905.24 = 43,101.30 : x
  2. Step 2: Convert to fraction form
    65,355.78/97,905.24 = 43,101.30/x
  3. Step 3: Cross multiply
    65,355.78x = 97,905.24 × 43,101.30
  4. Step 4: Simplify right side
    65,355.78x = 4,219,843,120.81
  5. Step 5: Solve for x
    x = 4,219,843,120.81/65,355.78
  6. Step 6: Final answer
    x = 64,567.25

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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.