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Finding the Fourth Proportional to 109,886.40, 164,829.60 and 102,013.20

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Solution

The fourth proportional to 109,886.40, 164,829.60 and 102,013.20 is: 153,019.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,886.40 : 164,829.60 = 102,013.20 : x
  2. Step 2: Convert to fraction form
    109,886.40/164,829.60 = 102,013.20/x
  3. Step 3: Cross multiply
    109,886.40x = 164,829.60 × 102,013.20
  4. Step 4: Simplify right side
    109,886.40x = 16,814,794,950.72
  5. Step 5: Solve for x
    x = 16,814,794,950.72/109,886.40
  6. Step 6: Final answer
    x = 153,019.80

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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.