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Finding the Fourth Proportional to 186,301.40, 257,129.49 and 109,815.98

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Solution

The fourth proportional to 186,301.40, 257,129.49 and 109,815.98 is: 151,565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,301.40 : 257,129.49 = 109,815.98 : x
  2. Step 2: Convert to fraction form
    186,301.40/257,129.49 = 109,815.98/x
  3. Step 3: Cross multiply
    186,301.40x = 257,129.49 × 109,815.98
  4. Step 4: Simplify right side
    186,301.40x = 28,236,925,645.60
  5. Step 5: Solve for x
    x = 28,236,925,645.60/186,301.40
  6. Step 6: Final answer
    x = 151,565.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.