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Finding the Fourth Proportional to 99,705.70, 149,558.55 and 57,715.30

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Solution

The fourth proportional to 99,705.70, 149,558.55 and 57,715.30 is: 86,572.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,705.70 : 149,558.55 = 57,715.30 : x
  2. Step 2: Convert to fraction form
    99,705.70/149,558.55 = 57,715.30/x
  3. Step 3: Cross multiply
    99,705.70x = 149,558.55 × 57,715.30
  4. Step 4: Simplify right side
    99,705.70x = 8,631,816,580.82
  5. Step 5: Solve for x
    x = 8,631,816,580.82/99,705.70
  6. Step 6: Final answer
    x = 86,572.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.