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Finding the Fourth Proportional to 64,940.82, 97,332.85 and 31,610.94

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Solution

The fourth proportional to 64,940.82, 97,332.85 and 31,610.94 is: 47,378.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,940.82 : 97,332.85 = 31,610.94 : x
  2. Step 2: Convert to fraction form
    64,940.82/97,332.85 = 31,610.94/x
  3. Step 3: Cross multiply
    64,940.82x = 97,332.85 × 31,610.94
  4. Step 4: Simplify right side
    64,940.82x = 3,076,782,881.38
  5. Step 5: Solve for x
    x = 3,076,782,881.38/64,940.82
  6. Step 6: Final answer
    x = 47,378.26

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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.