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Finding the Fourth Proportional to 105,079.86, 157,559.19 and 71,840.21

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Solution

The fourth proportional to 105,079.86, 157,559.19 and 71,840.21 is: 107,718.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,079.86 : 157,559.19 = 71,840.21 : x
  2. Step 2: Convert to fraction form
    105,079.86/157,559.19 = 71,840.21/x
  3. Step 3: Cross multiply
    105,079.86x = 157,559.19 × 71,840.21
  4. Step 4: Simplify right side
    105,079.86x = 11,319,084,509.23
  5. Step 5: Solve for x
    x = 11,319,084,509.23/105,079.86
  6. Step 6: Final answer
    x = 107,718.88

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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.