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Finding the Fourth Proportional to 97,234.50, 145,851.76 and 31,570.50

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Solution

The fourth proportional to 97,234.50, 145,851.76 and 31,570.50 is: 47,355.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,234.50 : 145,851.76 = 31,570.50 : x
  2. Step 2: Convert to fraction form
    97,234.50/145,851.76 = 31,570.50/x
  3. Step 3: Cross multiply
    97,234.50x = 145,851.76 × 31,570.50
  4. Step 4: Simplify right side
    97,234.50x = 4,604,612,989.08
  5. Step 5: Solve for x
    x = 4,604,612,989.08/97,234.50
  6. Step 6: Final answer
    x = 47,355.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.