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Finding the Fourth Proportional to 98,999.10, 148,325.85 and 85,175.10

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Solution

The fourth proportional to 98,999.10, 148,325.85 and 85,175.10 is: 127,613.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,999.10 : 148,325.85 = 85,175.10 : x
  2. Step 2: Convert to fraction form
    98,999.10/148,325.85 = 85,175.10/x
  3. Step 3: Cross multiply
    98,999.10x = 148,325.85 × 85,175.10
  4. Step 4: Simplify right side
    98,999.10x = 12,633,669,106.34
  5. Step 5: Solve for x
    x = 12,633,669,106.34/98,999.10
  6. Step 6: Final answer
    x = 127,613.98

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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.