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Finding the Fourth Proportional to 216,698.42, 299,038.06 and 119,899.75

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Solution

The fourth proportional to 216,698.42, 299,038.06 and 119,899.75 is: 165,458.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,698.42 : 299,038.06 = 119,899.75 : x
  2. Step 2: Convert to fraction form
    216,698.42/299,038.06 = 119,899.75/x
  3. Step 3: Cross multiply
    216,698.42x = 299,038.06 × 119,899.75
  4. Step 4: Simplify right side
    216,698.42x = 35,854,588,634.49
  5. Step 5: Solve for x
    x = 35,854,588,634.49/216,698.42
  6. Step 6: Final answer
    x = 165,458.47

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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.