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Finding the Fourth Proportional to 74,155.72, 102,345.30 and 47,289.64

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Solution

The fourth proportional to 74,155.72, 102,345.30 and 47,289.64 is: 65,266.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,155.72 : 102,345.30 = 47,289.64 : x
  2. Step 2: Convert to fraction form
    74,155.72/102,345.30 = 47,289.64/x
  3. Step 3: Cross multiply
    74,155.72x = 102,345.30 × 47,289.64
  4. Step 4: Simplify right side
    74,155.72x = 4,839,872,392.69
  5. Step 5: Solve for x
    x = 4,839,872,392.69/74,155.72
  6. Step 6: Final answer
    x = 65,266.34

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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.