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Finding the Fourth Proportional to 69,463.96, 103,898.24 and 64,421.72

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Solution

The fourth proportional to 69,463.96, 103,898.24 and 64,421.72 is: 96,356.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,463.96 : 103,898.24 = 64,421.72 : x
  2. Step 2: Convert to fraction form
    69,463.96/103,898.24 = 64,421.72/x
  3. Step 3: Cross multiply
    69,463.96x = 103,898.24 × 64,421.72
  4. Step 4: Simplify right side
    69,463.96x = 6,693,303,325.77
  5. Step 5: Solve for x
    x = 6,693,303,325.77/69,463.96
  6. Step 6: Final answer
    x = 96,356.49

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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.