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Finding the Fourth Proportional to 189,679.79, 284,513.00 and 47,526.28

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Solution

The fourth proportional to 189,679.79, 284,513.00 and 47,526.28 is: 71,287.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,679.79 : 284,513.00 = 47,526.28 : x
  2. Step 2: Convert to fraction form
    189,679.79/284,513.00 = 47,526.28/x
  3. Step 3: Cross multiply
    189,679.79x = 284,513.00 × 47,526.28
  4. Step 4: Simplify right side
    189,679.79x = 13,521,843,552.73
  5. Step 5: Solve for x
    x = 13,521,843,552.73/189,679.79
  6. Step 6: Final answer
    x = 71,287.74

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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.