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Finding the Fourth Proportional to 216,898.64, 299,320.08 and 121,405.36

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Solution

The fourth proportional to 216,898.64, 299,320.08 and 121,405.36 is: 167,539.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,898.64 : 299,320.08 = 121,405.36 : x
  2. Step 2: Convert to fraction form
    216,898.64/299,320.08 = 121,405.36/x
  3. Step 3: Cross multiply
    216,898.64x = 299,320.08 × 121,405.36
  4. Step 4: Simplify right side
    216,898.64x = 36,339,061,015.82
  5. Step 5: Solve for x
    x = 36,339,061,015.82/216,898.64
  6. Step 6: Final answer
    x = 167,539.37

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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.