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Finding the Fourth Proportional to 142,419.54, 213,703.56 and 103,299.57

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Solution

The fourth proportional to 142,419.54, 213,703.56 and 103,299.57 is: 155,003.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,419.54 : 213,703.56 = 103,299.57 : x
  2. Step 2: Convert to fraction form
    142,419.54/213,703.56 = 103,299.57/x
  3. Step 3: Cross multiply
    142,419.54x = 213,703.56 × 103,299.57
  4. Step 4: Simplify right side
    142,419.54x = 22,075,485,855.47
  5. Step 5: Solve for x
    x = 22,075,485,855.47/142,419.54
  6. Step 6: Final answer
    x = 155,003.21

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1.5x scale

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.