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Finding the Fourth Proportional to 98,270, 135,634.50 and 62,453

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Solution

The fourth proportional to 98,270, 135,634.50 and 62,453 is: 86,199.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,270 : 135,634.50 = 62,453 : x
  2. Step 2: Convert to fraction form
    98,270/135,634.50 = 62,453/x
  3. Step 3: Cross multiply
    98,270x = 135,634.50 × 62,453
  4. Step 4: Simplify right side
    98,270x = 8,470,781,428.50
  5. Step 5: Solve for x
    x = 8,470,781,428.50/98,270
  6. Step 6: Final answer
    x = 86,199.06

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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.