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Finding the Fourth Proportional to 104,418, 156,419.64 and 51,666.48

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Solution

The fourth proportional to 104,418, 156,419.64 and 51,666.48 is: 77,397.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,418 : 156,419.64 = 51,666.48 : x
  2. Step 2: Convert to fraction form
    104,418/156,419.64 = 51,666.48/x
  3. Step 3: Cross multiply
    104,418x = 156,419.64 × 51,666.48
  4. Step 4: Simplify right side
    104,418x = 8,081,652,201.67
  5. Step 5: Solve for x
    x = 8,081,652,201.67/104,418
  6. Step 6: Final answer
    x = 77,397.12

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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.