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Finding the Fourth Proportional to 90,106.59, 124,342.07 and 49,818

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Solution

The fourth proportional to 90,106.59, 124,342.07 and 49,818 is: 68,746.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,106.59 : 124,342.07 = 49,818 : x
  2. Step 2: Convert to fraction form
    90,106.59/124,342.07 = 49,818/x
  3. Step 3: Cross multiply
    90,106.59x = 124,342.07 × 49,818
  4. Step 4: Simplify right side
    90,106.59x = 6,194,473,243.26
  5. Step 5: Solve for x
    x = 6,194,473,243.26/90,106.59
  6. Step 6: Final answer
    x = 68,746.06

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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.