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Finding the Fourth Proportional to 150,646.96, 207,883.84 and 86,123.20

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Solution

The fourth proportional to 150,646.96, 207,883.84 and 86,123.20 is: 118,844.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,646.96 : 207,883.84 = 86,123.20 : x
  2. Step 2: Convert to fraction form
    150,646.96/207,883.84 = 86,123.20/x
  3. Step 3: Cross multiply
    150,646.96x = 207,883.84 × 86,123.20
  4. Step 4: Simplify right side
    150,646.96x = 17,903,621,529.09
  5. Step 5: Solve for x
    x = 17,903,621,529.09/150,646.96
  6. Step 6: Final answer
    x = 118,844.89

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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.