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Finding the Fourth Proportional to 137,417.70, 189,641.88 and 76,988.85

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Solution

The fourth proportional to 137,417.70, 189,641.88 and 76,988.85 is: 106,247.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,417.70 : 189,641.88 = 76,988.85 : x
  2. Step 2: Convert to fraction form
    137,417.70/189,641.88 = 76,988.85/x
  3. Step 3: Cross multiply
    137,417.70x = 189,641.88 × 76,988.85
  4. Step 4: Simplify right side
    137,417.70x = 14,600,310,253.04
  5. Step 5: Solve for x
    x = 14,600,310,253.04/137,417.70
  6. Step 6: Final answer
    x = 106,247.67

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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.