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Finding the Fourth Proportional to 104,146.74, 143,721.75 and 56,398.98

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Solution

The fourth proportional to 104,146.74, 143,721.75 and 56,398.98 is: 77,830.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,146.74 : 143,721.75 = 56,398.98 : x
  2. Step 2: Convert to fraction form
    104,146.74/143,721.75 = 56,398.98/x
  3. Step 3: Cross multiply
    104,146.74x = 143,721.75 × 56,398.98
  4. Step 4: Simplify right side
    104,146.74x = 8,105,760,103.82
  5. Step 5: Solve for x
    x = 8,105,760,103.82/104,146.74
  6. Step 6: Final answer
    x = 77,830.19

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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.