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Finding the Fourth Proportional to 164,585.70, 246,886.65 and 85,853.70

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Solution

The fourth proportional to 164,585.70, 246,886.65 and 85,853.70 is: 128,784.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,585.70 : 246,886.65 = 85,853.70 : x
  2. Step 2: Convert to fraction form
    164,585.70/246,886.65 = 85,853.70/x
  3. Step 3: Cross multiply
    164,585.70x = 246,886.65 × 85,853.70
  4. Step 4: Simplify right side
    164,585.70x = 21,196,132,383.11
  5. Step 5: Solve for x
    x = 21,196,132,383.11/164,585.70
  6. Step 6: Final answer
    x = 128,784.78

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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.