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Finding the Fourth Proportional to 98,085.79, 135,354.39 and 55,643.41

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Solution

The fourth proportional to 98,085.79, 135,354.39 and 55,643.41 is: 76,785.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,085.79 : 135,354.39 = 55,643.41 : x
  2. Step 2: Convert to fraction form
    98,085.79/135,354.39 = 55,643.41/x
  3. Step 3: Cross multiply
    98,085.79x = 135,354.39 × 55,643.41
  4. Step 4: Simplify right side
    98,085.79x = 7,531,579,818.07
  5. Step 5: Solve for x
    x = 7,531,579,818.07/98,085.79
  6. Step 6: Final answer
    x = 76,785.64

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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.