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Finding the Fourth Proportional to 74,620.96, 102,964.88 and 42,784

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Solution

The fourth proportional to 74,620.96, 102,964.88 and 42,784 is: 59,035.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,620.96 : 102,964.88 = 42,784 : x
  2. Step 2: Convert to fraction form
    74,620.96/102,964.88 = 42,784/x
  3. Step 3: Cross multiply
    74,620.96x = 102,964.88 × 42,784
  4. Step 4: Simplify right side
    74,620.96x = 4,405,249,425.92
  5. Step 5: Solve for x
    x = 4,405,249,425.92/74,620.96
  6. Step 6: Final answer
    x = 59,035.01

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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.