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Finding the Fourth Proportional to 100,208.72, 137,973.30 and 85,070

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Solution

The fourth proportional to 100,208.72, 137,973.30 and 85,070 is: 117,129.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,208.72 : 137,973.30 = 85,070 : x
  2. Step 2: Convert to fraction form
    100,208.72/137,973.30 = 85,070/x
  3. Step 3: Cross multiply
    100,208.72x = 137,973.30 × 85,070
  4. Step 4: Simplify right side
    100,208.72x = 11,737,388,631.00
  5. Step 5: Solve for x
    x = 11,737,388,631.00/100,208.72
  6. Step 6: Final answer
    x = 117,129.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.