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Finding the Fourth Proportional to 189,607.26, 284,457.68 and 56,487

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Solution

The fourth proportional to 189,607.26, 284,457.68 and 56,487 is: 84,744.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,607.26 : 284,457.68 = 56,487 : x
  2. Step 2: Convert to fraction form
    189,607.26/284,457.68 = 56,487/x
  3. Step 3: Cross multiply
    189,607.26x = 284,457.68 × 56,487
  4. Step 4: Simplify right side
    189,607.26x = 16,068,160,970.16
  5. Step 5: Solve for x
    x = 16,068,160,970.16/189,607.26
  6. Step 6: Final answer
    x = 84,744.44

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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.