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Finding the Fourth Proportional to 42,419.80, 63,629.70 and 35,858.80

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Solution

The fourth proportional to 42,419.80, 63,629.70 and 35,858.80 is: 53,788.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,419.80 : 63,629.70 = 35,858.80 : x
  2. Step 2: Convert to fraction form
    42,419.80/63,629.70 = 35,858.80/x
  3. Step 3: Cross multiply
    42,419.80x = 63,629.70 × 35,858.80
  4. Step 4: Simplify right side
    42,419.80x = 2,281,684,686.36
  5. Step 5: Solve for x
    x = 2,281,684,686.36/42,419.80
  6. Step 6: Final answer
    x = 53,788.20

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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.