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Finding the Fourth Proportional to 145,412.30, 217,956.45 and 56,636.30

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Solution

The fourth proportional to 145,412.30, 217,956.45 and 56,636.30 is: 84,891.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,412.30 : 217,956.45 = 56,636.30 : x
  2. Step 2: Convert to fraction form
    145,412.30/217,956.45 = 56,636.30/x
  3. Step 3: Cross multiply
    145,412.30x = 217,956.45 × 56,636.30
  4. Step 4: Simplify right side
    145,412.30x = 12,344,246,889.14
  5. Step 5: Solve for x
    x = 12,344,246,889.14/145,412.30
  6. Step 6: Final answer
    x = 84,891.35

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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.