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Finding the Fourth Proportional to 189,678.81, 284,515.38 and 56,559.63

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Solution

The fourth proportional to 189,678.81, 284,515.38 and 56,559.63 is: 84,838.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,678.81 : 284,515.38 = 56,559.63 : x
  2. Step 2: Convert to fraction form
    189,678.81/284,515.38 = 56,559.63/x
  3. Step 3: Cross multiply
    189,678.81x = 284,515.38 × 56,559.63
  4. Step 4: Simplify right side
    189,678.81x = 16,092,084,622.11
  5. Step 5: Solve for x
    x = 16,092,084,622.11/189,678.81
  6. Step 6: Final answer
    x = 84,838.60

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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.