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Finding the Fourth Proportional to 163,809.96, 245,774.08 and 57,209.61

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Solution

The fourth proportional to 163,809.96, 245,774.08 and 57,209.61 is: 85,835.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,809.96 : 245,774.08 = 57,209.61 : x
  2. Step 2: Convert to fraction form
    163,809.96/245,774.08 = 57,209.61/x
  3. Step 3: Cross multiply
    163,809.96x = 245,774.08 × 57,209.61
  4. Step 4: Simplify right side
    163,809.96x = 14,060,639,936.27
  5. Step 5: Solve for x
    x = 14,060,639,936.27/163,809.96
  6. Step 6: Final answer
    x = 85,835.07

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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.