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Finding the Fourth Proportional to 72,836, 109,246.68 and 53,153

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Solution

The fourth proportional to 72,836, 109,246.68 and 53,153 is: 79,724.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,836 : 109,246.68 = 53,153 : x
  2. Step 2: Convert to fraction form
    72,836/109,246.68 = 53,153/x
  3. Step 3: Cross multiply
    72,836x = 109,246.68 × 53,153
  4. Step 4: Simplify right side
    72,836x = 5,806,788,782.04
  5. Step 5: Solve for x
    x = 5,806,788,782.04/72,836
  6. Step 6: Final answer
    x = 79,724.16

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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.