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Finding the Fourth Proportional to 60,978.32, 91,444.75 and 20,986.13

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Solution

The fourth proportional to 60,978.32, 91,444.75 and 20,986.13 is: 31,471.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,978.32 : 91,444.75 = 20,986.13 : x
  2. Step 2: Convert to fraction form
    60,978.32/91,444.75 = 20,986.13/x
  3. Step 3: Cross multiply
    60,978.32x = 91,444.75 × 20,986.13
  4. Step 4: Simplify right side
    60,978.32x = 1,919,071,666.16
  5. Step 5: Solve for x
    x = 1,919,071,666.16/60,978.32
  6. Step 6: Final answer
    x = 31,471.38

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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.