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Finding the Fourth Proportional to 109,339.60, 164,009.40 and 100,008.40

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Solution

The fourth proportional to 109,339.60, 164,009.40 and 100,008.40 is: 150,012.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,339.60 : 164,009.40 = 100,008.40 : x
  2. Step 2: Convert to fraction form
    109,339.60/164,009.40 = 100,008.40/x
  3. Step 3: Cross multiply
    109,339.60x = 164,009.40 × 100,008.40
  4. Step 4: Simplify right side
    109,339.60x = 16,402,317,678.96
  5. Step 5: Solve for x
    x = 16,402,317,678.96/109,339.60
  6. Step 6: Final answer
    x = 150,012.60

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1.5x scale

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.