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Finding the Fourth Proportional to 70,507.50, 97,309 and 40,699.50

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Solution

The fourth proportional to 70,507.50, 97,309 and 40,699.50 is: 56,170.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,507.50 : 97,309 = 40,699.50 : x
  2. Step 2: Convert to fraction form
    70,507.50/97,309 = 40,699.50/x
  3. Step 3: Cross multiply
    70,507.50x = 97,309 × 40,699.50
  4. Step 4: Simplify right side
    70,507.50x = 3,960,427,645.50
  5. Step 5: Solve for x
    x = 3,960,427,645.50/70,507.50
  6. Step 6: Final answer
    x = 56,170.30

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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.