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Finding the Fourth Proportional to 103,484.43, 142,809.78 and 58,159.76

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Solution

The fourth proportional to 103,484.43, 142,809.78 and 58,159.76 is: 80,261.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,484.43 : 142,809.78 = 58,159.76 : x
  2. Step 2: Convert to fraction form
    103,484.43/142,809.78 = 58,159.76/x
  3. Step 3: Cross multiply
    103,484.43x = 142,809.78 × 58,159.76
  4. Step 4: Simplify right side
    103,484.43x = 8,305,781,816.40
  5. Step 5: Solve for x
    x = 8,305,781,816.40/103,484.43
  6. Step 6: Final answer
    x = 80,261.17

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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.