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Finding the Fourth Proportional to 100,157.76, 138,311.37 and 64,409.83

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Solution

The fourth proportional to 100,157.76, 138,311.37 and 64,409.83 is: 88,945.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,157.76 : 138,311.37 = 64,409.83 : x
  2. Step 2: Convert to fraction form
    100,157.76/138,311.37 = 64,409.83/x
  3. Step 3: Cross multiply
    100,157.76x = 138,311.37 × 64,409.83
  4. Step 4: Simplify right side
    100,157.76x = 8,908,611,482.99
  5. Step 5: Solve for x
    x = 8,908,611,482.99/100,157.76
  6. Step 6: Final answer
    x = 88,945.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.