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Finding the Fourth Proportional to 104,135.31, 156,077.76 and 47,897.91

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Solution

The fourth proportional to 104,135.31, 156,077.76 and 47,897.91 is: 71,789.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,135.31 : 156,077.76 = 47,897.91 : x
  2. Step 2: Convert to fraction form
    104,135.31/156,077.76 = 47,897.91/x
  3. Step 3: Cross multiply
    104,135.31x = 156,077.76 × 47,897.91
  4. Step 4: Simplify right side
    104,135.31x = 7,475,798,501.48
  5. Step 5: Solve for x
    x = 7,475,798,501.48/104,135.31
  6. Step 6: Final answer
    x = 71,789.28

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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.