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Finding the Fourth Proportional to 66,918.34, 100,202.15 and 47,089.54

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Solution

The fourth proportional to 66,918.34, 100,202.15 and 47,089.54 is: 70,510.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,918.34 : 100,202.15 = 47,089.54 : x
  2. Step 2: Convert to fraction form
    66,918.34/100,202.15 = 47,089.54/x
  3. Step 3: Cross multiply
    66,918.34x = 100,202.15 × 47,089.54
  4. Step 4: Simplify right side
    66,918.34x = 4,718,473,150.51
  5. Step 5: Solve for x
    x = 4,718,473,150.51/66,918.34
  6. Step 6: Final answer
    x = 70,510.91

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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.