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Finding the Fourth Proportional to 70,438.96, 97,200.82 and 40,225.96

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Solution

The fourth proportional to 70,438.96, 97,200.82 and 40,225.96 is: 55,509.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,438.96 : 97,200.82 = 40,225.96 : x
  2. Step 2: Convert to fraction form
    70,438.96/97,200.82 = 40,225.96/x
  3. Step 3: Cross multiply
    70,438.96x = 97,200.82 × 40,225.96
  4. Step 4: Simplify right side
    70,438.96x = 3,909,996,297.29
  5. Step 5: Solve for x
    x = 3,909,996,297.29/70,438.96
  6. Step 6: Final answer
    x = 55,509.00

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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.