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Finding the Fourth Proportional to 89,861.80, 123,969.16 and 52,114.16

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Solution

The fourth proportional to 89,861.80, 123,969.16 and 52,114.16 is: 71,894.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,861.80 : 123,969.16 = 52,114.16 : x
  2. Step 2: Convert to fraction form
    89,861.80/123,969.16 = 52,114.16/x
  3. Step 3: Cross multiply
    89,861.80x = 123,969.16 × 52,114.16
  4. Step 4: Simplify right side
    89,861.80x = 6,460,548,639.31
  5. Step 5: Solve for x
    x = 6,460,548,639.31/89,861.80
  6. Step 6: Final answer
    x = 71,894.27

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1.5x scale

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.