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Finding the Fourth Proportional to 78,238.16, 107,966.76 and 44,702

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Solution

The fourth proportional to 78,238.16, 107,966.76 and 44,702 is: 61,687.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,238.16 : 107,966.76 = 44,702 : x
  2. Step 2: Convert to fraction form
    78,238.16/107,966.76 = 44,702/x
  3. Step 3: Cross multiply
    78,238.16x = 107,966.76 × 44,702
  4. Step 4: Simplify right side
    78,238.16x = 4,826,330,105.52
  5. Step 5: Solve for x
    x = 4,826,330,105.52/78,238.16
  6. Step 6: Final answer
    x = 61,687.67

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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.