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Finding the Fourth Proportional to 66,914.50, 100,410.63 and 29,978.50

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Solution

The fourth proportional to 66,914.50, 100,410.63 and 29,978.50 is: 44,985.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,914.50 : 100,410.63 = 29,978.50 : x
  2. Step 2: Convert to fraction form
    66,914.50/100,410.63 = 29,978.50/x
  3. Step 3: Cross multiply
    66,914.50x = 100,410.63 × 29,978.50
  4. Step 4: Simplify right side
    66,914.50x = 3,010,160,071.46
  5. Step 5: Solve for x
    x = 3,010,160,071.46/66,914.50
  6. Step 6: Final answer
    x = 44,985.17

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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.