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Finding the Fourth Proportional to 98,638.40, 136,064.40 and 56,189

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Solution

The fourth proportional to 98,638.40, 136,064.40 and 56,189 is: 77,508.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,638.40 : 136,064.40 = 56,189 : x
  2. Step 2: Convert to fraction form
    98,638.40/136,064.40 = 56,189/x
  3. Step 3: Cross multiply
    98,638.40x = 136,064.40 × 56,189
  4. Step 4: Simplify right side
    98,638.40x = 7,645,322,571.60
  5. Step 5: Solve for x
    x = 7,645,322,571.60/98,638.40
  6. Step 6: Final answer
    x = 77,508.58

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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.