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Finding the Fourth Proportional to 137,308, 189,487.92 and 77,692

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Solution

The fourth proportional to 137,308, 189,487.92 and 77,692 is: 107,216.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,308 : 189,487.92 = 77,692 : x
  2. Step 2: Convert to fraction form
    137,308/189,487.92 = 77,692/x
  3. Step 3: Cross multiply
    137,308x = 189,487.92 × 77,692
  4. Step 4: Simplify right side
    137,308x = 14,721,695,480.64
  5. Step 5: Solve for x
    x = 14,721,695,480.64/137,308
  6. Step 6: Final answer
    x = 107,216.59

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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.