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Finding the Fourth Proportional to 189,492.48, 284,212.80 and 56,393.28

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Solution

The fourth proportional to 189,492.48, 284,212.80 and 56,393.28 is: 84,582.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,492.48 : 284,212.80 = 56,393.28 : x
  2. Step 2: Convert to fraction form
    189,492.48/284,212.80 = 56,393.28/x
  3. Step 3: Cross multiply
    189,492.48x = 284,212.80 × 56,393.28
  4. Step 4: Simplify right side
    189,492.48x = 16,027,692,009.98
  5. Step 5: Solve for x
    x = 16,027,692,009.98/189,492.48
  6. Step 6: Final answer
    x = 84,582.21

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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.