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Finding the Fourth Proportional to 85,782.24, 128,657.70 and 35,848.98

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Solution

The fourth proportional to 85,782.24, 128,657.70 and 35,848.98 is: 53,766.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,782.24 : 128,657.70 = 35,848.98 : x
  2. Step 2: Convert to fraction form
    85,782.24/128,657.70 = 35,848.98/x
  3. Step 3: Cross multiply
    85,782.24x = 128,657.70 × 35,848.98
  4. Step 4: Simplify right side
    85,782.24x = 4,612,247,314.15
  5. Step 5: Solve for x
    x = 4,612,247,314.15/85,782.24
  6. Step 6: Final answer
    x = 53,766.93

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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.