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Finding the Fourth Proportional to 210,658.52, 290,860.98 and 130,196.36

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Solution

The fourth proportional to 210,658.52, 290,860.98 and 130,196.36 is: 179,765.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,658.52 : 290,860.98 = 130,196.36 : x
  2. Step 2: Convert to fraction form
    210,658.52/290,860.98 = 130,196.36/x
  3. Step 3: Cross multiply
    210,658.52x = 290,860.98 × 130,196.36
  4. Step 4: Simplify right side
    210,658.52x = 37,869,041,100.95
  5. Step 5: Solve for x
    x = 37,869,041,100.95/210,658.52
  6. Step 6: Final answer
    x = 179,765.06

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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.