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Finding the Fourth Proportional to 98,557, 136,008.66 and 53,845

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Solution

The fourth proportional to 98,557, 136,008.66 and 53,845 is: 74,306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,557 : 136,008.66 = 53,845 : x
  2. Step 2: Convert to fraction form
    98,557/136,008.66 = 53,845/x
  3. Step 3: Cross multiply
    98,557x = 136,008.66 × 53,845
  4. Step 4: Simplify right side
    98,557x = 7,323,386,297.70
  5. Step 5: Solve for x
    x = 7,323,386,297.70/98,557
  6. Step 6: Final answer
    x = 74,306.10

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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.