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Finding the Fourth Proportional to 131,403.60, 197,299.80 and 101,854.80

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Solution

The fourth proportional to 131,403.60, 197,299.80 and 101,854.80 is: 152,932.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,403.60 : 197,299.80 = 101,854.80 : x
  2. Step 2: Convert to fraction form
    131,403.60/197,299.80 = 101,854.80/x
  3. Step 3: Cross multiply
    131,403.60x = 197,299.80 × 101,854.80
  4. Step 4: Simplify right side
    131,403.60x = 20,095,931,669.04
  5. Step 5: Solve for x
    x = 20,095,931,669.04/131,403.60
  6. Step 6: Final answer
    x = 152,932.89

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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.