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Finding the Fourth Proportional to 65,403.21, 97,981.02 and 38,669.16

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Solution

The fourth proportional to 65,403.21, 97,981.02 and 38,669.16 is: 57,930.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,403.21 : 97,981.02 = 38,669.16 : x
  2. Step 2: Convert to fraction form
    65,403.21/97,981.02 = 38,669.16/x
  3. Step 3: Cross multiply
    65,403.21x = 97,981.02 × 38,669.16
  4. Step 4: Simplify right side
    65,403.21x = 3,788,843,739.34
  5. Step 5: Solve for x
    x = 3,788,843,739.34/65,403.21
  6. Step 6: Final answer
    x = 57,930.55

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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.