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Finding the Fourth Proportional to 72,978.32, 100,710.26 and 39,444.32

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Solution

The fourth proportional to 72,978.32, 100,710.26 and 39,444.32 is: 54,433.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,978.32 : 100,710.26 = 39,444.32 : x
  2. Step 2: Convert to fraction form
    72,978.32/100,710.26 = 39,444.32/x
  3. Step 3: Cross multiply
    72,978.32x = 100,710.26 × 39,444.32
  4. Step 4: Simplify right side
    72,978.32x = 3,972,447,021.95
  5. Step 5: Solve for x
    x = 3,972,447,021.95/72,978.32
  6. Step 6: Final answer
    x = 54,433.25

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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.