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Finding the Fourth Proportional to 105,098.60, 145,039.15 and 57,355.03

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Solution

The fourth proportional to 105,098.60, 145,039.15 and 57,355.03 is: 79,151.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,098.60 : 145,039.15 = 57,355.03 : x
  2. Step 2: Convert to fraction form
    105,098.60/145,039.15 = 57,355.03/x
  3. Step 3: Cross multiply
    105,098.60x = 145,039.15 × 57,355.03
  4. Step 4: Simplify right side
    105,098.60x = 8,318,724,799.42
  5. Step 5: Solve for x
    x = 8,318,724,799.42/105,098.60
  6. Step 6: Final answer
    x = 79,151.62

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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.