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Finding the Fourth Proportional to 102,142.66, 153,214.05 and 27,263.11

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Solution

The fourth proportional to 102,142.66, 153,214.05 and 27,263.11 is: 40,894.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,142.66 : 153,214.05 = 27,263.11 : x
  2. Step 2: Convert to fraction form
    102,142.66/153,214.05 = 27,263.11/x
  3. Step 3: Cross multiply
    102,142.66x = 153,214.05 × 27,263.11
  4. Step 4: Simplify right side
    102,142.66x = 4,177,091,498.70
  5. Step 5: Solve for x
    x = 4,177,091,498.70/102,142.66
  6. Step 6: Final answer
    x = 40,894.68

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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.