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Finding the Fourth Proportional to 65,222.70, 97,898.85 and 31,980.30

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Solution

The fourth proportional to 65,222.70, 97,898.85 and 31,980.30 is: 48,002.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,222.70 : 97,898.85 = 31,980.30 : x
  2. Step 2: Convert to fraction form
    65,222.70/97,898.85 = 31,980.30/x
  3. Step 3: Cross multiply
    65,222.70x = 97,898.85 × 31,980.30
  4. Step 4: Simplify right side
    65,222.70x = 3,130,834,592.66
  5. Step 5: Solve for x
    x = 3,130,834,592.66/65,222.70
  6. Step 6: Final answer
    x = 48,002.22

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1.5x scale

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.