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Finding the Fourth Proportional to 216,840.95, 299,235.80 and 120,039.20

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Solution

The fourth proportional to 216,840.95, 299,235.80 and 120,039.20 is: 165,651.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,840.95 : 299,235.80 = 120,039.20 : x
  2. Step 2: Convert to fraction form
    216,840.95/299,235.80 = 120,039.20/x
  3. Step 3: Cross multiply
    216,840.95x = 299,235.80 × 120,039.20
  4. Step 4: Simplify right side
    216,840.95x = 35,920,025,969.41
  5. Step 5: Solve for x
    x = 35,920,025,969.41/216,840.95
  6. Step 6: Final answer
    x = 165,651.49

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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.