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Finding the Fourth Proportional to 189,547.79, 284,383.20 and 56,429.20

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Solution

The fourth proportional to 189,547.79, 284,383.20 and 56,429.20 is: 84,662.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,547.79 : 284,383.20 = 56,429.20 : x
  2. Step 2: Convert to fraction form
    189,547.79/284,383.20 = 56,429.20/x
  3. Step 3: Cross multiply
    189,547.79x = 284,383.20 × 56,429.20
  4. Step 4: Simplify right side
    189,547.79x = 16,047,515,758.48
  5. Step 5: Solve for x
    x = 16,047,515,758.48/189,547.79
  6. Step 6: Final answer
    x = 84,662.11

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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.