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Finding the Fourth Proportional to 70,564.86, 97,378.92 and 38,731.86

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Solution

The fourth proportional to 70,564.86, 97,378.92 and 38,731.86 is: 53,449.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,564.86 : 97,378.92 = 38,731.86 : x
  2. Step 2: Convert to fraction form
    70,564.86/97,378.92 = 38,731.86/x
  3. Step 3: Cross multiply
    70,564.86x = 97,378.92 × 38,731.86
  4. Step 4: Simplify right side
    70,564.86x = 3,771,666,696.39
  5. Step 5: Solve for x
    x = 3,771,666,696.39/70,564.86
  6. Step 6: Final answer
    x = 53,449.64

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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.