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Finding the Fourth Proportional to 137,580.48, 189,888.30 and 89,242.32

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Solution

The fourth proportional to 137,580.48, 189,888.30 and 89,242.32 is: 123,172.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,580.48 : 189,888.30 = 89,242.32 : x
  2. Step 2: Convert to fraction form
    137,580.48/189,888.30 = 89,242.32/x
  3. Step 3: Cross multiply
    137,580.48x = 189,888.30 × 89,242.32
  4. Step 4: Simplify right side
    137,580.48x = 16,946,072,432.86
  5. Step 5: Solve for x
    x = 16,946,072,432.86/137,580.48
  6. Step 6: Final answer
    x = 123,172.07

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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.