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Finding the Fourth Proportional to 152,799.68, 210,860.24 and 84,812.64

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Solution

The fourth proportional to 152,799.68, 210,860.24 and 84,812.64 is: 117,039.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,799.68 : 210,860.24 = 84,812.64 : x
  2. Step 2: Convert to fraction form
    152,799.68/210,860.24 = 84,812.64/x
  3. Step 3: Cross multiply
    152,799.68x = 210,860.24 × 84,812.64
  4. Step 4: Simplify right side
    152,799.68x = 17,883,613,625.43
  5. Step 5: Solve for x
    x = 17,883,613,625.43/152,799.68
  6. Step 6: Final answer
    x = 117,039.60

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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.