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Finding the Fourth Proportional to 272,205.75, 375,643.94 and 152,973.75

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Solution

The fourth proportional to 272,205.75, 375,643.94 and 152,973.75 is: 211,103.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,205.75 : 375,643.94 = 152,973.75 : x
  2. Step 2: Convert to fraction form
    272,205.75/375,643.94 = 152,973.75/x
  3. Step 3: Cross multiply
    272,205.75x = 375,643.94 × 152,973.75
  4. Step 4: Simplify right side
    272,205.75x = 57,463,661,401.71
  5. Step 5: Solve for x
    x = 57,463,661,401.71/272,205.75
  6. Step 6: Final answer
    x = 211,103.78

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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.