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Finding the Fourth Proportional to 103,417.84, 142,716.54 and 58,705.84

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Solution

The fourth proportional to 103,417.84, 142,716.54 and 58,705.84 is: 81,014.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,417.84 : 142,716.54 = 58,705.84 : x
  2. Step 2: Convert to fraction form
    103,417.84/142,716.54 = 58,705.84/x
  3. Step 3: Cross multiply
    103,417.84x = 142,716.54 × 58,705.84
  4. Step 4: Simplify right side
    103,417.84x = 8,378,294,362.59
  5. Step 5: Solve for x
    x = 8,378,294,362.59/103,417.84
  6. Step 6: Final answer
    x = 81,014.01

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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.