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Finding the Fourth Proportional to 98,356, 135,734.16 and 53,646.88

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Solution

The fourth proportional to 98,356, 135,734.16 and 53,646.88 is: 74,034.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,356 : 135,734.16 = 53,646.88 : x
  2. Step 2: Convert to fraction form
    98,356/135,734.16 = 53,646.88/x
  3. Step 3: Cross multiply
    98,356x = 135,734.16 × 53,646.88
  4. Step 4: Simplify right side
    98,356x = 7,281,714,193.42
  5. Step 5: Solve for x
    x = 7,281,714,193.42/98,356
  6. Step 6: Final answer
    x = 74,034.27

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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.