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Finding the Fourth Proportional to 137,354.54, 189,564.91 and 83,670.98

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Solution

The fourth proportional to 137,354.54, 189,564.91 and 83,670.98 is: 115,475.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,354.54 : 189,564.91 = 83,670.98 : x
  2. Step 2: Convert to fraction form
    137,354.54/189,564.91 = 83,670.98/x
  3. Step 3: Cross multiply
    137,354.54x = 189,564.91 × 83,670.98
  4. Step 4: Simplify right side
    137,354.54x = 15,861,080,636.31
  5. Step 5: Solve for x
    x = 15,861,080,636.31/137,354.54
  6. Step 6: Final answer
    x = 115,475.48

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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.