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Finding the Fourth Proportional to 211,533.20, 317,818.20 and 159,045.20

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Solution

The fourth proportional to 211,533.20, 317,818.20 and 159,045.20 is: 238,957.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,533.20 : 317,818.20 = 159,045.20 : x
  2. Step 2: Convert to fraction form
    211,533.20/317,818.20 = 159,045.20/x
  3. Step 3: Cross multiply
    211,533.20x = 317,818.20 × 159,045.20
  4. Step 4: Simplify right side
    211,533.20x = 50,547,459,182.64
  5. Step 5: Solve for x
    x = 50,547,459,182.64/211,533.20
  6. Step 6: Final answer
    x = 238,957.57

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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.