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Finding the Fourth Proportional to 137,050, 189,129.32 and 77,434

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Solution

The fourth proportional to 137,050, 189,129.32 and 77,434 is: 106,859.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,050 : 189,129.32 = 77,434 : x
  2. Step 2: Convert to fraction form
    137,050/189,129.32 = 77,434/x
  3. Step 3: Cross multiply
    137,050x = 189,129.32 × 77,434
  4. Step 4: Simplify right side
    137,050x = 14,645,039,764.88
  5. Step 5: Solve for x
    x = 14,645,039,764.88/137,050
  6. Step 6: Final answer
    x = 106,859.10

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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.