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Finding the Fourth Proportional to 99,705.80, 149,558.70 and 57,715.40

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Solution

The fourth proportional to 99,705.80, 149,558.70 and 57,715.40 is: 86,573.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,705.80 : 149,558.70 = 57,715.40 : x
  2. Step 2: Convert to fraction form
    99,705.80/149,558.70 = 57,715.40/x
  3. Step 3: Cross multiply
    99,705.80x = 149,558.70 × 57,715.40
  4. Step 4: Simplify right side
    99,705.80x = 8,631,840,193.98
  5. Step 5: Solve for x
    x = 8,631,840,193.98/99,705.80
  6. Step 6: Final answer
    x = 86,573.10

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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.