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Finding the Fourth Proportional to 64,745.48, 97,092.70 and 31,455.70

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Solution

The fourth proportional to 64,745.48, 97,092.70 and 31,455.70 is: 47,171.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,745.48 : 97,092.70 = 31,455.70 : x
  2. Step 2: Convert to fraction form
    64,745.48/97,092.70 = 31,455.70/x
  3. Step 3: Cross multiply
    64,745.48x = 97,092.70 × 31,455.70
  4. Step 4: Simplify right side
    64,745.48x = 3,054,118,522.02
  5. Step 5: Solve for x
    x = 3,054,118,522.02/64,745.48
  6. Step 6: Final answer
    x = 47,171.14

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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.