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Finding the Fourth Proportional to 189,774.32, 284,651.76 and 56,655.68

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Solution

The fourth proportional to 189,774.32, 284,651.76 and 56,655.68 is: 84,980.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,774.32 : 284,651.76 = 56,655.68 : x
  2. Step 2: Convert to fraction form
    189,774.32/284,651.76 = 56,655.68/x
  3. Step 3: Cross multiply
    189,774.32x = 284,651.76 × 56,655.68
  4. Step 4: Simplify right side
    189,774.32x = 16,127,139,026.00
  5. Step 5: Solve for x
    x = 16,127,139,026.00/189,774.32
  6. Step 6: Final answer
    x = 84,980.62

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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.