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Finding the Fourth Proportional to 98,125, 135,412.50 and 53,413

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Solution

The fourth proportional to 98,125, 135,412.50 and 53,413 is: 73,709.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,125 : 135,412.50 = 53,413 : x
  2. Step 2: Convert to fraction form
    98,125/135,412.50 = 53,413/x
  3. Step 3: Cross multiply
    98,125x = 135,412.50 × 53,413
  4. Step 4: Simplify right side
    98,125x = 7,232,787,862.50
  5. Step 5: Solve for x
    x = 7,232,787,862.50/98,125
  6. Step 6: Final answer
    x = 73,709.94

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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.