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Finding the Fourth Proportional to 268,735.80, 403,103.70 and 97,970.33

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Solution

The fourth proportional to 268,735.80, 403,103.70 and 97,970.33 is: 146,955.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,735.80 : 403,103.70 = 97,970.33 : x
  2. Step 2: Convert to fraction form
    268,735.80/403,103.70 = 97,970.33/x
  3. Step 3: Cross multiply
    268,735.80x = 403,103.70 × 97,970.33
  4. Step 4: Simplify right side
    268,735.80x = 39,492,202,513.22
  5. Step 5: Solve for x
    x = 39,492,202,513.22/268,735.80
  6. Step 6: Final answer
    x = 146,955.50

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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.