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Finding the Fourth Proportional to 189,363.90, 284,061.64 and 54,428.42

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Solution

The fourth proportional to 189,363.90, 284,061.64 and 54,428.42 is: 81,647.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,363.90 : 284,061.64 = 54,428.42 : x
  2. Step 2: Convert to fraction form
    189,363.90/284,061.64 = 54,428.42/x
  3. Step 3: Cross multiply
    189,363.90x = 284,061.64 × 54,428.42
  4. Step 4: Simplify right side
    189,363.90x = 15,461,026,247.81
  5. Step 5: Solve for x
    x = 15,461,026,247.81/189,363.90
  6. Step 6: Final answer
    x = 81,647.17

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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.