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Finding the Fourth Proportional to 189,686.72, 284,560.80 and 58,328

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Solution

The fourth proportional to 189,686.72, 284,560.80 and 58,328 is: 87,501.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,686.72 : 284,560.80 = 58,328 : x
  2. Step 2: Convert to fraction form
    189,686.72/284,560.80 = 58,328/x
  3. Step 3: Cross multiply
    189,686.72x = 284,560.80 × 58,328
  4. Step 4: Simplify right side
    189,686.72x = 16,597,862,342.40
  5. Step 5: Solve for x
    x = 16,597,862,342.40/189,686.72
  6. Step 6: Final answer
    x = 87,501.45

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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.