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Finding the Fourth Proportional to 64,709.54, 97,064.91 and 20,335.31

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Solution

The fourth proportional to 64,709.54, 97,064.91 and 20,335.31 is: 30,503.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,709.54 : 97,064.91 = 20,335.31 : x
  2. Step 2: Convert to fraction form
    64,709.54/97,064.91 = 20,335.31/x
  3. Step 3: Cross multiply
    64,709.54x = 97,064.91 × 20,335.31
  4. Step 4: Simplify right side
    64,709.54x = 1,973,845,034.97
  5. Step 5: Solve for x
    x = 1,973,845,034.97/64,709.54
  6. Step 6: Final answer
    x = 30,503.15

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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.