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Finding the Fourth Proportional to 98,797, 136,339.86 and 54,085

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Solution

The fourth proportional to 98,797, 136,339.86 and 54,085 is: 74,637.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,797 : 136,339.86 = 54,085 : x
  2. Step 2: Convert to fraction form
    98,797/136,339.86 = 54,085/x
  3. Step 3: Cross multiply
    98,797x = 136,339.86 × 54,085
  4. Step 4: Simplify right side
    98,797x = 7,373,941,328.10
  5. Step 5: Solve for x
    x = 7,373,941,328.10/98,797
  6. Step 6: Final answer
    x = 74,637.30

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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.