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Finding the Fourth Proportional to 89,978.83, 135,050.16 and 47,894.26

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Solution

The fourth proportional to 89,978.83, 135,050.16 and 47,894.26 is: 71,884.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,978.83 : 135,050.16 = 47,894.26 : x
  2. Step 2: Convert to fraction form
    89,978.83/135,050.16 = 47,894.26/x
  3. Step 3: Cross multiply
    89,978.83x = 135,050.16 × 47,894.26
  4. Step 4: Simplify right side
    89,978.83x = 6,468,127,476.08
  5. Step 5: Solve for x
    x = 6,468,127,476.08/89,978.83
  6. Step 6: Final answer
    x = 71,884.99

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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.