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Finding the Fourth Proportional to 145,791, 218,700 and 66,893.76

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Solution

The fourth proportional to 145,791, 218,700 and 66,893.76 is: 100,346.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,791 : 218,700 = 66,893.76 : x
  2. Step 2: Convert to fraction form
    145,791/218,700 = 66,893.76/x
  3. Step 3: Cross multiply
    145,791x = 218,700 × 66,893.76
  4. Step 4: Simplify right side
    145,791x = 14,629,665,312.00
  5. Step 5: Solve for x
    x = 14,629,665,312.00/145,791
  6. Step 6: Final answer
    x = 100,346.83

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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.