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Finding the Fourth Proportional to 98,648.84, 148,021.86 and 61,199.30

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Solution

The fourth proportional to 98,648.84, 148,021.86 and 61,199.30 is: 91,829.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,648.84 : 148,021.86 = 61,199.30 : x
  2. Step 2: Convert to fraction form
    98,648.84/148,021.86 = 61,199.30/x
  3. Step 3: Cross multiply
    98,648.84x = 148,021.86 × 61,199.30
  4. Step 4: Simplify right side
    98,648.84x = 9,058,834,216.70
  5. Step 5: Solve for x
    x = 9,058,834,216.70/98,648.84
  6. Step 6: Final answer
    x = 91,829.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.