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Finding the Fourth Proportional to 119,582, 165,027.54 and 74,285

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Solution

The fourth proportional to 119,582, 165,027.54 and 74,285 is: 102,516.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,582 : 165,027.54 = 74,285 : x
  2. Step 2: Convert to fraction form
    119,582/165,027.54 = 74,285/x
  3. Step 3: Cross multiply
    119,582x = 165,027.54 × 74,285
  4. Step 4: Simplify right side
    119,582x = 12,259,070,808.90
  5. Step 5: Solve for x
    x = 12,259,070,808.90/119,582
  6. Step 6: Final answer
    x = 102,516.02

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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.