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Finding the Fourth Proportional to 211,608.64, 317,411.52 and 53,835.68

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Solution

The fourth proportional to 211,608.64, 317,411.52 and 53,835.68 is: 80,753.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,608.64 : 317,411.52 = 53,835.68 : x
  2. Step 2: Convert to fraction form
    211,608.64/317,411.52 = 53,835.68/x
  3. Step 3: Cross multiply
    211,608.64x = 317,411.52 × 53,835.68
  4. Step 4: Simplify right side
    211,608.64x = 17,088,065,019.03
  5. Step 5: Solve for x
    x = 17,088,065,019.03/211,608.64
  6. Step 6: Final answer
    x = 80,753.15

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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.