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Finding the Fourth Proportional to 145,893.06, 218,752.08 and 66,908.34

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Solution

The fourth proportional to 145,893.06, 218,752.08 and 66,908.34 is: 100,322.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,893.06 : 218,752.08 = 66,908.34 : x
  2. Step 2: Convert to fraction form
    145,893.06/218,752.08 = 66,908.34/x
  3. Step 3: Cross multiply
    145,893.06x = 218,752.08 × 66,908.34
  4. Step 4: Simplify right side
    145,893.06x = 14,636,338,544.35
  5. Step 5: Solve for x
    x = 14,636,338,544.35/145,893.06
  6. Step 6: Final answer
    x = 100,322.38

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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.