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Finding the Fourth Proportional to 64,991.48, 97,474.92 and 31,678.08

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Solution

The fourth proportional to 64,991.48, 97,474.92 and 31,678.08 is: 47,511.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,991.48 : 97,474.92 = 31,678.08 : x
  2. Step 2: Convert to fraction form
    64,991.48/97,474.92 = 31,678.08/x
  3. Step 3: Cross multiply
    64,991.48x = 97,474.92 × 31,678.08
  4. Step 4: Simplify right side
    64,991.48x = 3,087,818,313.75
  5. Step 5: Solve for x
    x = 3,087,818,313.75/64,991.48
  6. Step 6: Final answer
    x = 47,511.12

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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.