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Finding the Fourth Proportional to 98,072, 135,341.52 and 53,360

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Solution

The fourth proportional to 98,072, 135,341.52 and 53,360 is: 73,637.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,072 : 135,341.52 = 53,360 : x
  2. Step 2: Convert to fraction form
    98,072/135,341.52 = 53,360/x
  3. Step 3: Cross multiply
    98,072x = 135,341.52 × 53,360
  4. Step 4: Simplify right side
    98,072x = 7,221,823,507.20
  5. Step 5: Solve for x
    x = 7,221,823,507.20/98,072
  6. Step 6: Final answer
    x = 73,637.98

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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.