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Finding the Fourth Proportional to 102,583.70, 153,853.95 and 43,421.30

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Solution

The fourth proportional to 102,583.70, 153,853.95 and 43,421.30 is: 65,122.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,583.70 : 153,853.95 = 43,421.30 : x
  2. Step 2: Convert to fraction form
    102,583.70/153,853.95 = 43,421.30/x
  3. Step 3: Cross multiply
    102,583.70x = 153,853.95 × 43,421.30
  4. Step 4: Simplify right side
    102,583.70x = 6,680,538,519.14
  5. Step 5: Solve for x
    x = 6,680,538,519.14/102,583.70
  6. Step 6: Final answer
    x = 65,122.81

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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.