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Finding the Fourth Proportional to 30,106, 41,547.76 and 18,169.12

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Solution

The fourth proportional to 30,106, 41,547.76 and 18,169.12 is: 25,074.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,106 : 41,547.76 = 18,169.12 : x
  2. Step 2: Convert to fraction form
    30,106/41,547.76 = 18,169.12/x
  3. Step 3: Cross multiply
    30,106x = 41,547.76 × 18,169.12
  4. Step 4: Simplify right side
    30,106x = 754,886,237.17
  5. Step 5: Solve for x
    x = 754,886,237.17/30,106
  6. Step 6: Final answer
    x = 25,074.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.