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Finding the Fourth Proportional to 216,659.42, 299,065.15 and 148,900.69

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Solution

The fourth proportional to 216,659.42, 299,065.15 and 148,900.69 is: 205,534.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,659.42 : 299,065.15 = 148,900.69 : x
  2. Step 2: Convert to fraction form
    216,659.42/299,065.15 = 148,900.69/x
  3. Step 3: Cross multiply
    216,659.42x = 299,065.15 × 148,900.69
  4. Step 4: Simplify right side
    216,659.42x = 44,531,007,749.91
  5. Step 5: Solve for x
    x = 44,531,007,749.91/216,659.42
  6. Step 6: Final answer
    x = 205,534.60

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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.