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Finding the Fourth Proportional to 142,268.59, 213,412.61 and 42,421.11

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Solution

The fourth proportional to 142,268.59, 213,412.61 and 42,421.11 is: 63,634.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,268.59 : 213,412.61 = 42,421.11 : x
  2. Step 2: Convert to fraction form
    142,268.59/213,412.61 = 42,421.11/x
  3. Step 3: Cross multiply
    142,268.59x = 213,412.61 × 42,421.11
  4. Step 4: Simplify right side
    142,268.59x = 9,053,199,804.20
  5. Step 5: Solve for x
    x = 9,053,199,804.20/142,268.59
  6. Step 6: Final answer
    x = 63,634.56

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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.