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Finding the Fourth Proportional to 137,553, 189,826.02 and 77,937

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Solution

The fourth proportional to 137,553, 189,826.02 and 77,937 is: 107,554.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,553 : 189,826.02 = 77,937 : x
  2. Step 2: Convert to fraction form
    137,553/189,826.02 = 77,937/x
  3. Step 3: Cross multiply
    137,553x = 189,826.02 × 77,937
  4. Step 4: Simplify right side
    137,553x = 14,794,470,520.74
  5. Step 5: Solve for x
    x = 14,794,470,520.74/137,553
  6. Step 6: Final answer
    x = 107,554.69

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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.