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Finding the Fourth Proportional to 50,978.94, 70,348.56 and 28,319.40

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Solution

The fourth proportional to 50,978.94, 70,348.56 and 28,319.40 is: 39,079.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,978.94 : 70,348.56 = 28,319.40 : x
  2. Step 2: Convert to fraction form
    50,978.94/70,348.56 = 28,319.40/x
  3. Step 3: Cross multiply
    50,978.94x = 70,348.56 × 28,319.40
  4. Step 4: Simplify right side
    50,978.94x = 1,992,229,010.06
  5. Step 5: Solve for x
    x = 1,992,229,010.06/50,978.94
  6. Step 6: Final answer
    x = 39,079.45

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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.