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Finding the Fourth Proportional to 103,419.84, 142,719.30 and 58,707.84

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Solution

The fourth proportional to 103,419.84, 142,719.30 and 58,707.84 is: 81,016.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,419.84 : 142,719.30 = 58,707.84 : x
  2. Step 2: Convert to fraction form
    103,419.84/142,719.30 = 58,707.84/x
  3. Step 3: Cross multiply
    103,419.84x = 142,719.30 × 58,707.84
  4. Step 4: Simplify right side
    103,419.84x = 8,378,741,829.31
  5. Step 5: Solve for x
    x = 8,378,741,829.31/103,419.84
  6. Step 6: Final answer
    x = 81,016.77

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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.