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Finding the Fourth Proportional to 98,072, 135,339.36 and 53,360.32

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Solution

The fourth proportional to 98,072, 135,339.36 and 53,360.32 is: 73,637.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,072 : 135,339.36 = 53,360.32 : x
  2. Step 2: Convert to fraction form
    98,072/135,339.36 = 53,360.32/x
  3. Step 3: Cross multiply
    98,072x = 135,339.36 × 53,360.32
  4. Step 4: Simplify right side
    98,072x = 7,221,751,558.20
  5. Step 5: Solve for x
    x = 7,221,751,558.20/98,072
  6. Step 6: Final answer
    x = 73,637.24

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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.