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Finding the Fourth Proportional to 210,149.83, 290,007.71 and 114,658.53

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Solution

The fourth proportional to 210,149.83, 290,007.71 and 114,658.53 is: 158,229.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,149.83 : 290,007.71 = 114,658.53 : x
  2. Step 2: Convert to fraction form
    210,149.83/290,007.71 = 114,658.53/x
  3. Step 3: Cross multiply
    210,149.83x = 290,007.71 × 114,658.53
  4. Step 4: Simplify right side
    210,149.83x = 33,251,855,693.94
  5. Step 5: Solve for x
    x = 33,251,855,693.94/210,149.83
  6. Step 6: Final answer
    x = 158,229.28

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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.