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Finding the Fourth Proportional to 211,871.64, 317,537.16 and 99,303.52

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Solution

The fourth proportional to 211,871.64, 317,537.16 and 99,303.52 is: 148,828.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,871.64 : 317,537.16 = 99,303.52 : x
  2. Step 2: Convert to fraction form
    211,871.64/317,537.16 = 99,303.52/x
  3. Step 3: Cross multiply
    211,871.64x = 317,537.16 × 99,303.52
  4. Step 4: Simplify right side
    211,871.64x = 31,532,557,718.80
  5. Step 5: Solve for x
    x = 31,532,557,718.80/211,871.64
  6. Step 6: Final answer
    x = 148,828.59

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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.