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Finding the Fourth Proportional to 98,276, 135,620.76 and 53,564

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Solution

The fourth proportional to 98,276, 135,620.76 and 53,564 is: 73,918.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,276 : 135,620.76 = 53,564 : x
  2. Step 2: Convert to fraction form
    98,276/135,620.76 = 53,564/x
  3. Step 3: Cross multiply
    98,276x = 135,620.76 × 53,564
  4. Step 4: Simplify right side
    98,276x = 7,264,390,388.64
  5. Step 5: Solve for x
    x = 7,264,390,388.64/98,276
  6. Step 6: Final answer
    x = 73,918.25

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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.