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Finding the Fourth Proportional to 98,810.78, 136,358.82 and 54,098.78

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Solution

The fourth proportional to 98,810.78, 136,358.82 and 54,098.78 is: 74,656.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,810.78 : 136,358.82 = 54,098.78 : x
  2. Step 2: Convert to fraction form
    98,810.78/136,358.82 = 54,098.78/x
  3. Step 3: Cross multiply
    98,810.78x = 136,358.82 × 54,098.78
  4. Step 4: Simplify right side
    98,810.78x = 7,376,845,804.24
  5. Step 5: Solve for x
    x = 7,376,845,804.24/98,810.78
  6. Step 6: Final answer
    x = 74,656.29

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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.