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Finding the Fourth Proportional to 209,487.84, 289,431.84 and 146,108.64

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Solution

The fourth proportional to 209,487.84, 289,431.84 and 146,108.64 is: 201,866.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,487.84 : 289,431.84 = 146,108.64 : x
  2. Step 2: Convert to fraction form
    209,487.84/289,431.84 = 146,108.64/x
  3. Step 3: Cross multiply
    209,487.84x = 289,431.84 × 146,108.64
  4. Step 4: Simplify right side
    209,487.84x = 42,288,492,515.10
  5. Step 5: Solve for x
    x = 42,288,492,515.10/209,487.84
  6. Step 6: Final answer
    x = 201,866.10

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