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Finding the Fourth Proportional to 98,570, 136,027.56 and 53,858

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Solution

The fourth proportional to 98,570, 136,027.56 and 53,858 is: 74,324.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,570 : 136,027.56 = 53,858 : x
  2. Step 2: Convert to fraction form
    98,570/136,027.56 = 53,858/x
  3. Step 3: Cross multiply
    98,570x = 136,027.56 × 53,858
  4. Step 4: Simplify right side
    98,570x = 7,326,172,326.48
  5. Step 5: Solve for x
    x = 7,326,172,326.48/98,570
  6. Step 6: Final answer
    x = 74,324.56

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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.