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Finding the Fourth Proportional to 209,381.76, 314,103.69 and 97,073.28

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Solution

The fourth proportional to 209,381.76, 314,103.69 and 97,073.28 is: 145,624.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,381.76 : 314,103.69 = 97,073.28 : x
  2. Step 2: Convert to fraction form
    209,381.76/314,103.69 = 97,073.28/x
  3. Step 3: Cross multiply
    209,381.76x = 314,103.69 × 97,073.28
  4. Step 4: Simplify right side
    209,381.76x = 30,491,075,448.40
  5. Step 5: Solve for x
    x = 30,491,075,448.40/209,381.76
  6. Step 6: Final answer
    x = 145,624.32

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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.