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Finding the Fourth Proportional to 147,647.64, 221,506.72 and 47,807.94

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Solution

The fourth proportional to 147,647.64, 221,506.72 and 47,807.94 is: 71,723.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,647.64 : 221,506.72 = 47,807.94 : x
  2. Step 2: Convert to fraction form
    147,647.64/221,506.72 = 47,807.94/x
  3. Step 3: Cross multiply
    147,647.64x = 221,506.72 × 47,807.94
  4. Step 4: Simplify right side
    147,647.64x = 10,589,779,979.36
  5. Step 5: Solve for x
    x = 10,589,779,979.36/147,647.64
  6. Step 6: Final answer
    x = 71,723.33

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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.