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Finding the Fourth Proportional to 70,309.70, 97,027.54 and 38,478.86

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Solution

The fourth proportional to 70,309.70, 97,027.54 and 38,478.86 is: 53,100.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,309.70 : 97,027.54 = 38,478.86 : x
  2. Step 2: Convert to fraction form
    70,309.70/97,027.54 = 38,478.86/x
  3. Step 3: Cross multiply
    70,309.70x = 97,027.54 × 38,478.86
  4. Step 4: Simplify right side
    70,309.70x = 3,733,509,127.80
  5. Step 5: Solve for x
    x = 3,733,509,127.80/70,309.70
  6. Step 6: Final answer
    x = 53,100.91

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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.