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Finding the Fourth Proportional to 70,621.50, 97,466.31 and 40,813.50

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Solution

The fourth proportional to 70,621.50, 97,466.31 and 40,813.50 is: 56,327.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,621.50 : 97,466.31 = 40,813.50 : x
  2. Step 2: Convert to fraction form
    70,621.50/97,466.31 = 40,813.50/x
  3. Step 3: Cross multiply
    70,621.50x = 97,466.31 × 40,813.50
  4. Step 4: Simplify right side
    70,621.50x = 3,977,941,243.19
  5. Step 5: Solve for x
    x = 3,977,941,243.19/70,621.50
  6. Step 6: Final answer
    x = 56,327.62

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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.