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Finding the Fourth Proportional to 78,175.84, 107,919.84 and 52,378.81

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Solution

The fourth proportional to 78,175.84, 107,919.84 and 52,378.81 is: 72,307.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,175.84 : 107,919.84 = 52,378.81 : x
  2. Step 2: Convert to fraction form
    78,175.84/107,919.84 = 52,378.81/x
  3. Step 3: Cross multiply
    78,175.84x = 107,919.84 × 52,378.81
  4. Step 4: Simplify right side
    78,175.84x = 5,652,712,794.59
  5. Step 5: Solve for x
    x = 5,652,712,794.59/78,175.84
  6. Step 6: Final answer
    x = 72,307.67

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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.