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Finding the Fourth Proportional to 102,040.10, 153,060.15 and 90,764.90

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Solution

The fourth proportional to 102,040.10, 153,060.15 and 90,764.90 is: 136,147.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,040.10 : 153,060.15 = 90,764.90 : x
  2. Step 2: Convert to fraction form
    102,040.10/153,060.15 = 90,764.90/x
  3. Step 3: Cross multiply
    102,040.10x = 153,060.15 × 90,764.90
  4. Step 4: Simplify right side
    102,040.10x = 13,892,489,208.74
  5. Step 5: Solve for x
    x = 13,892,489,208.74/102,040.10
  6. Step 6: Final answer
    x = 136,147.35

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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.