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Finding the Fourth Proportional to 52,619.20, 78,775.20 and 47,089.60

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Solution

The fourth proportional to 52,619.20, 78,775.20 and 47,089.60 is: 70,496.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,619.20 : 78,775.20 = 47,089.60 : x
  2. Step 2: Convert to fraction form
    52,619.20/78,775.20 = 47,089.60/x
  3. Step 3: Cross multiply
    52,619.20x = 78,775.20 × 47,089.60
  4. Step 4: Simplify right side
    52,619.20x = 3,709,492,657.92
  5. Step 5: Solve for x
    x = 3,709,492,657.92/52,619.20
  6. Step 6: Final answer
    x = 70,496.94

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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.