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Finding the Fourth Proportional to 64,998.75, 97,485.80 and 31,685.31

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Solution

The fourth proportional to 64,998.75, 97,485.80 and 31,685.31 is: 47,521.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,998.75 : 97,485.80 = 31,685.31 : x
  2. Step 2: Convert to fraction form
    64,998.75/97,485.80 = 31,685.31/x
  3. Step 3: Cross multiply
    64,998.75x = 97,485.80 × 31,685.31
  4. Step 4: Simplify right side
    64,998.75x = 3,088,867,635.17
  5. Step 5: Solve for x
    x = 3,088,867,635.17/64,998.75
  6. Step 6: Final answer
    x = 47,521.95

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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.