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Finding the Fourth Proportional to 186,854.32, 257,864.96 and 106,279.77

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Solution

The fourth proportional to 186,854.32, 257,864.96 and 106,279.77 is: 146,669.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,854.32 : 257,864.96 = 106,279.77 : x
  2. Step 2: Convert to fraction form
    186,854.32/257,864.96 = 106,279.77/x
  3. Step 3: Cross multiply
    186,854.32x = 257,864.96 × 106,279.77
  4. Step 4: Simplify right side
    186,854.32x = 27,405,828,905.56
  5. Step 5: Solve for x
    x = 27,405,828,905.56/186,854.32
  6. Step 6: Final answer
    x = 146,669.50

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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.