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Finding the Fourth Proportional to 106,445, 159,348.72 and 102,659.84

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Solution

The fourth proportional to 106,445, 159,348.72 and 102,659.84 is: 153,682.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,445 : 159,348.72 = 102,659.84 : x
  2. Step 2: Convert to fraction form
    106,445/159,348.72 = 102,659.84/x
  3. Step 3: Cross multiply
    106,445x = 159,348.72 × 102,659.84
  4. Step 4: Simplify right side
    106,445x = 16,358,714,099.40
  5. Step 5: Solve for x
    x = 16,358,714,099.40/106,445
  6. Step 6: Final answer
    x = 153,682.32

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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.