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Finding the Fourth Proportional to 100,962, 151,507.80 and 45,558

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Solution

The fourth proportional to 100,962, 151,507.80 and 45,558 is: 68,366.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,962 : 151,507.80 = 45,558 : x
  2. Step 2: Convert to fraction form
    100,962/151,507.80 = 45,558/x
  3. Step 3: Cross multiply
    100,962x = 151,507.80 × 45,558
  4. Step 4: Simplify right side
    100,962x = 6,902,392,352.40
  5. Step 5: Solve for x
    x = 6,902,392,352.40/100,962
  6. Step 6: Final answer
    x = 68,366.24

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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.