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Finding the Fourth Proportional to 145,706.57, 218,406.75 and 66,755.87

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Solution

The fourth proportional to 145,706.57, 218,406.75 and 66,755.87 is: 100,063.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,706.57 : 218,406.75 = 66,755.87 : x
  2. Step 2: Convert to fraction form
    145,706.57/218,406.75 = 66,755.87/x
  3. Step 3: Cross multiply
    145,706.57x = 218,406.75 × 66,755.87
  4. Step 4: Simplify right side
    145,706.57x = 14,579,931,518.09
  5. Step 5: Solve for x
    x = 14,579,931,518.09/145,706.57
  6. Step 6: Final answer
    x = 100,063.66

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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.