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Finding the Fourth Proportional to 213,658.64, 294,885.90 and 128,775.80

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Solution

The fourth proportional to 213,658.64, 294,885.90 and 128,775.80 is: 177,732.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,658.64 : 294,885.90 = 128,775.80 : x
  2. Step 2: Convert to fraction form
    213,658.64/294,885.90 = 128,775.80/x
  3. Step 3: Cross multiply
    213,658.64x = 294,885.90 × 128,775.80
  4. Step 4: Simplify right side
    213,658.64x = 37,974,167,681.22
  5. Step 5: Solve for x
    x = 37,974,167,681.22/213,658.64
  6. Step 6: Final answer
    x = 177,732.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.