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Finding the Fourth Proportional to 70,700.82, 97,564.62 and 38,869.50

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Solution

The fourth proportional to 70,700.82, 97,564.62 and 38,869.50 is: 53,638.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,700.82 : 97,564.62 = 38,869.50 : x
  2. Step 2: Convert to fraction form
    70,700.82/97,564.62 = 38,869.50/x
  3. Step 3: Cross multiply
    70,700.82x = 97,564.62 × 38,869.50
  4. Step 4: Simplify right side
    70,700.82x = 3,792,287,997.09
  5. Step 5: Solve for x
    x = 3,792,287,997.09/70,700.82
  6. Step 6: Final answer
    x = 53,638.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.