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Finding the Fourth Proportional to 70,513, 97,310.82 and 40,705

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Solution

The fourth proportional to 70,513, 97,310.82 and 40,705 is: 56,174.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,513 : 97,310.82 = 40,705 : x
  2. Step 2: Convert to fraction form
    70,513/97,310.82 = 40,705/x
  3. Step 3: Cross multiply
    70,513x = 97,310.82 × 40,705
  4. Step 4: Simplify right side
    70,513x = 3,961,036,928.10
  5. Step 5: Solve for x
    x = 3,961,036,928.10/70,513
  6. Step 6: Final answer
    x = 56,174.56

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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.