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Finding the Fourth Proportional to 98,970, 136,580.22 and 54,258

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Solution

The fourth proportional to 98,970, 136,580.22 and 54,258 is: 74,876.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,970 : 136,580.22 = 54,258 : x
  2. Step 2: Convert to fraction form
    98,970/136,580.22 = 54,258/x
  3. Step 3: Cross multiply
    98,970x = 136,580.22 × 54,258
  4. Step 4: Simplify right side
    98,970x = 7,410,569,576.76
  5. Step 5: Solve for x
    x = 7,410,569,576.76/98,970
  6. Step 6: Final answer
    x = 74,876.93

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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.