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Finding the Fourth Proportional to 64,705.75, 97,058.64 and 20,929.75

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Solution

The fourth proportional to 64,705.75, 97,058.64 and 20,929.75 is: 31,394.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,705.75 : 97,058.64 = 20,929.75 : x
  2. Step 2: Convert to fraction form
    64,705.75/97,058.64 = 20,929.75/x
  3. Step 3: Cross multiply
    64,705.75x = 97,058.64 × 20,929.75
  4. Step 4: Simplify right side
    64,705.75x = 2,031,413,070.54
  5. Step 5: Solve for x
    x = 2,031,413,070.54/64,705.75
  6. Step 6: Final answer
    x = 31,394.63

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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.