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Finding the Fourth Proportional to 151,649.31, 209,274.62 and 83,666.84

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Solution

The fourth proportional to 151,649.31, 209,274.62 and 83,666.84 is: 115,459.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,649.31 : 209,274.62 = 83,666.84 : x
  2. Step 2: Convert to fraction form
    151,649.31/209,274.62 = 83,666.84/x
  3. Step 3: Cross multiply
    151,649.31x = 209,274.62 × 83,666.84
  4. Step 4: Simplify right side
    151,649.31x = 17,509,344,682.89
  5. Step 5: Solve for x
    x = 17,509,344,682.89/151,649.31
  6. Step 6: Final answer
    x = 115,459.44

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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.