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Finding the Fourth Proportional to 216,864.42, 325,389.67 and 83,838.10

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Solution

The fourth proportional to 216,864.42, 325,389.67 and 83,838.10 is: 125,793.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,864.42 : 325,389.67 = 83,838.10 : x
  2. Step 2: Convert to fraction form
    216,864.42/325,389.67 = 83,838.10/x
  3. Step 3: Cross multiply
    216,864.42x = 325,389.67 × 83,838.10
  4. Step 4: Simplify right side
    216,864.42x = 27,280,051,751.05
  5. Step 5: Solve for x
    x = 27,280,051,751.05/216,864.42
  6. Step 6: Final answer
    x = 125,793.12

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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.