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Finding the Fourth Proportional to 65,219.70, 97,829.55 and 42,669.30

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Solution

The fourth proportional to 65,219.70, 97,829.55 and 42,669.30 is: 64,003.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,219.70 : 97,829.55 = 42,669.30 : x
  2. Step 2: Convert to fraction form
    65,219.70/97,829.55 = 42,669.30/x
  3. Step 3: Cross multiply
    65,219.70x = 97,829.55 × 42,669.30
  4. Step 4: Simplify right side
    65,219.70x = 4,174,318,417.82
  5. Step 5: Solve for x
    x = 4,174,318,417.82/65,219.70
  6. Step 6: Final answer
    x = 64,003.95

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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.