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Finding the Fourth Proportional to 137,370.76, 189,558.90 and 77,754.76

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Solution

The fourth proportional to 137,370.76, 189,558.90 and 77,754.76 is: 107,294.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,370.76 : 189,558.90 = 77,754.76 : x
  2. Step 2: Convert to fraction form
    137,370.76/189,558.90 = 77,754.76/x
  3. Step 3: Cross multiply
    137,370.76x = 189,558.90 × 77,754.76
  4. Step 4: Simplify right side
    137,370.76x = 14,739,106,775.36
  5. Step 5: Solve for x
    x = 14,739,106,775.36/137,370.76
  6. Step 6: Final answer
    x = 107,294.35

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1.5x scale

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.