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Finding the Fourth Proportional to 156,205, 234,378.90 and 85,021

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Solution

The fourth proportional to 156,205, 234,378.90 and 85,021 is: 127,570.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,205 : 234,378.90 = 85,021 : x
  2. Step 2: Convert to fraction form
    156,205/234,378.90 = 85,021/x
  3. Step 3: Cross multiply
    156,205x = 234,378.90 × 85,021
  4. Step 4: Simplify right side
    156,205x = 19,927,128,456.90
  5. Step 5: Solve for x
    x = 19,927,128,456.90/156,205
  6. Step 6: Final answer
    x = 127,570.36

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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.