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Finding the Fourth Proportional to 98,858, 148,287 and 39,734.48

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Solution

The fourth proportional to 98,858, 148,287 and 39,734.48 is: 59,601.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,858 : 148,287 = 39,734.48 : x
  2. Step 2: Convert to fraction form
    98,858/148,287 = 39,734.48/x
  3. Step 3: Cross multiply
    98,858x = 148,287 × 39,734.48
  4. Step 4: Simplify right side
    98,858x = 5,892,106,835.76
  5. Step 5: Solve for x
    x = 5,892,106,835.76/98,858
  6. Step 6: Final answer
    x = 59,601.72

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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.