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Finding the Fourth Proportional to 137,580.62, 189,888.49 and 89,242.45

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Solution

The fourth proportional to 137,580.62, 189,888.49 and 89,242.45 is: 123,172.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,580.62 : 189,888.49 = 89,242.45 : x
  2. Step 2: Convert to fraction form
    137,580.62/189,888.49 = 89,242.45/x
  3. Step 3: Cross multiply
    137,580.62x = 189,888.49 × 89,242.45
  4. Step 4: Simplify right side
    137,580.62x = 16,946,114,074.40
  5. Step 5: Solve for x
    x = 16,946,114,074.40/137,580.62
  6. Step 6: Final answer
    x = 123,172.25

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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.