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Finding the Fourth Proportional to 137,600, 189,890.88 and 77,984

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Solution

The fourth proportional to 137,600, 189,890.88 and 77,984 is: 107,619.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,600 : 189,890.88 = 77,984 : x
  2. Step 2: Convert to fraction form
    137,600/189,890.88 = 77,984/x
  3. Step 3: Cross multiply
    137,600x = 189,890.88 × 77,984
  4. Step 4: Simplify right side
    137,600x = 14,808,450,385.92
  5. Step 5: Solve for x
    x = 14,808,450,385.92/137,600
  6. Step 6: Final answer
    x = 107,619.55

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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.