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Finding the Fourth Proportional to 98,698, 136,204.32 and 53,986

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Solution

The fourth proportional to 98,698, 136,204.32 and 53,986 is: 74,501.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,698 : 136,204.32 = 53,986 : x
  2. Step 2: Convert to fraction form
    98,698/136,204.32 = 53,986/x
  3. Step 3: Cross multiply
    98,698x = 136,204.32 × 53,986
  4. Step 4: Simplify right side
    98,698x = 7,353,126,419.52
  5. Step 5: Solve for x
    x = 7,353,126,419.52/98,698
  6. Step 6: Final answer
    x = 74,501.27

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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.