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Finding the Fourth Proportional to 216,512.89, 324,547.86 and 109,698.95

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Solution

The fourth proportional to 216,512.89, 324,547.86 and 109,698.95 is: 164,436.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,512.89 : 324,547.86 = 109,698.95 : x
  2. Step 2: Convert to fraction form
    216,512.89/324,547.86 = 109,698.95/x
  3. Step 3: Cross multiply
    216,512.89x = 324,547.86 × 109,698.95
  4. Step 4: Simplify right side
    216,512.89x = 35,602,559,466.75
  5. Step 5: Solve for x
    x = 35,602,559,466.75/216,512.89
  6. Step 6: Final answer
    x = 164,436.21

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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.