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Finding the Fourth Proportional to 70,208, 105,330.46 and 20,292.16

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Solution

The fourth proportional to 70,208, 105,330.46 and 20,292.16 is: 30,443.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,208 : 105,330.46 = 20,292.16 : x
  2. Step 2: Convert to fraction form
    70,208/105,330.46 = 20,292.16/x
  3. Step 3: Cross multiply
    70,208x = 105,330.46 × 20,292.16
  4. Step 4: Simplify right side
    70,208x = 2,137,382,547.19
  5. Step 5: Solve for x
    x = 2,137,382,547.19/70,208
  6. Step 6: Final answer
    x = 30,443.58

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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.