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Finding the Fourth Proportional to 243,030.05, 335,246.69 and 142,408.61

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Solution

The fourth proportional to 243,030.05, 335,246.69 and 142,408.61 is: 196,444.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,030.05 : 335,246.69 = 142,408.61 : x
  2. Step 2: Convert to fraction form
    243,030.05/335,246.69 = 142,408.61/x
  3. Step 3: Cross multiply
    243,030.05x = 335,246.69 × 142,408.61
  4. Step 4: Simplify right side
    243,030.05x = 47,742,014,417.96
  5. Step 5: Solve for x
    x = 47,742,014,417.96/243,030.05
  6. Step 6: Final answer
    x = 196,444.90

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Why These Related Problems?

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