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Finding the Fourth Proportional to 150,505.14, 207,706.43 and 83,437.14

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Solution

The fourth proportional to 150,505.14, 207,706.43 and 83,437.14 is: 115,148.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,505.14 : 207,706.43 = 83,437.14 : x
  2. Step 2: Convert to fraction form
    150,505.14/207,706.43 = 83,437.14/x
  3. Step 3: Cross multiply
    150,505.14x = 207,706.43 × 83,437.14
  4. Step 4: Simplify right side
    150,505.14x = 17,330,430,478.81
  5. Step 5: Solve for x
    x = 17,330,430,478.81/150,505.14
  6. Step 6: Final answer
    x = 115,148.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.