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Finding the Fourth Proportional to 102,216.52, 153,324.80 and 45,990.96

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Solution

The fourth proportional to 102,216.52, 153,324.80 and 45,990.96 is: 68,986.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,216.52 : 153,324.80 = 45,990.96 : x
  2. Step 2: Convert to fraction form
    102,216.52/153,324.80 = 45,990.96/x
  3. Step 3: Cross multiply
    102,216.52x = 153,324.80 × 45,990.96
  4. Step 4: Simplify right side
    102,216.52x = 7,051,554,743.81
  5. Step 5: Solve for x
    x = 7,051,554,743.81/102,216.52
  6. Step 6: Final answer
    x = 68,986.45

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1.5x scale

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.