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Finding the Fourth Proportional to 52,526, 78,701.28 and 36,915.68

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Solution

The fourth proportional to 52,526, 78,701.28 and 36,915.68 is: 55,311.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,526 : 78,701.28 = 36,915.68 : x
  2. Step 2: Convert to fraction form
    52,526/78,701.28 = 36,915.68/x
  3. Step 3: Cross multiply
    52,526x = 78,701.28 × 36,915.68
  4. Step 4: Simplify right side
    52,526x = 2,905,311,268.07
  5. Step 5: Solve for x
    x = 2,905,311,268.07/52,526
  6. Step 6: Final answer
    x = 55,311.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.