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Finding the Fourth Proportional to 52,043.72, 78,065.78 and 12,600.77

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Solution

The fourth proportional to 52,043.72, 78,065.78 and 12,600.77 is: 18,901.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,043.72 : 78,065.78 = 12,600.77 : x
  2. Step 2: Convert to fraction form
    52,043.72/78,065.78 = 12,600.77/x
  3. Step 3: Cross multiply
    52,043.72x = 78,065.78 × 12,600.77
  4. Step 4: Simplify right side
    52,043.72x = 983,688,485.32
  5. Step 5: Solve for x
    x = 983,688,485.32/52,043.72
  6. Step 6: Final answer
    x = 18,901.20

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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.