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Finding the Fourth Proportional to 98,932, 136,534.80 and 54,228.64

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Solution

The fourth proportional to 98,932, 136,534.80 and 54,228.64 is: 74,840.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,932 : 136,534.80 = 54,228.64 : x
  2. Step 2: Convert to fraction form
    98,932/136,534.80 = 54,228.64/x
  3. Step 3: Cross multiply
    98,932x = 136,534.80 × 54,228.64
  4. Step 4: Simplify right side
    98,932x = 7,404,096,516.67
  5. Step 5: Solve for x
    x = 7,404,096,516.67/98,932
  6. Step 6: Final answer
    x = 74,840.26

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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.