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Finding the Fourth Proportional to 109,412.40, 164,118.60 and 93,009.90

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Solution

The fourth proportional to 109,412.40, 164,118.60 and 93,009.90 is: 139,514.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,412.40 : 164,118.60 = 93,009.90 : x
  2. Step 2: Convert to fraction form
    109,412.40/164,118.60 = 93,009.90/x
  3. Step 3: Cross multiply
    109,412.40x = 164,118.60 × 93,009.90
  4. Step 4: Simplify right side
    109,412.40x = 15,264,654,574.14
  5. Step 5: Solve for x
    x = 15,264,654,574.14/109,412.40
  6. Step 6: Final answer
    x = 139,514.85

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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.