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Finding the Fourth Proportional to 216,308.46, 324,463.42 and 66,547.74

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Solution

The fourth proportional to 216,308.46, 324,463.42 and 66,547.74 is: 99,821.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,308.46 : 324,463.42 = 66,547.74 : x
  2. Step 2: Convert to fraction form
    216,308.46/324,463.42 = 66,547.74/x
  3. Step 3: Cross multiply
    216,308.46x = 324,463.42 × 66,547.74
  4. Step 4: Simplify right side
    216,308.46x = 21,592,307,313.67
  5. Step 5: Solve for x
    x = 21,592,307,313.67/216,308.46
  6. Step 6: Final answer
    x = 99,821.83

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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.