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Finding the Fourth Proportional to 50,978.90, 70,352.15 and 28,316.80

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Solution

The fourth proportional to 50,978.90, 70,352.15 and 28,316.80 is: 39,077.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,978.90 : 70,352.15 = 28,316.80 : x
  2. Step 2: Convert to fraction form
    50,978.90/70,352.15 = 28,316.80/x
  3. Step 3: Cross multiply
    50,978.90x = 70,352.15 × 28,316.80
  4. Step 4: Simplify right side
    50,978.90x = 1,992,147,656.03
  5. Step 5: Solve for x
    x = 1,992,147,656.03/50,978.90
  6. Step 6: Final answer
    x = 39,077.89

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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.