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Finding the Fourth Proportional to 103,911.76, 143,397.22 and 57,971.80

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Solution

The fourth proportional to 103,911.76, 143,397.22 and 57,971.80 is: 80,000.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,911.76 : 143,397.22 = 57,971.80 : x
  2. Step 2: Convert to fraction form
    103,911.76/143,397.22 = 57,971.80/x
  3. Step 3: Cross multiply
    103,911.76x = 143,397.22 × 57,971.80
  4. Step 4: Simplify right side
    103,911.76x = 8,312,993,951.55
  5. Step 5: Solve for x
    x = 8,312,993,951.55/103,911.76
  6. Step 6: Final answer
    x = 80,000.52

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1.5x scale

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.