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Finding the Fourth Proportional to 249,857.36, 374,185.42 and 142,917.20

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Solution

The fourth proportional to 249,857.36, 374,185.42 and 142,917.20 is: 214,032.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,857.36 : 374,185.42 = 142,917.20 : x
  2. Step 2: Convert to fraction form
    249,857.36/374,185.42 = 142,917.20/x
  3. Step 3: Cross multiply
    249,857.36x = 374,185.42 × 142,917.20
  4. Step 4: Simplify right side
    249,857.36x = 53,477,532,507.22
  5. Step 5: Solve for x
    x = 53,477,532,507.22/249,857.36
  6. Step 6: Final answer
    x = 214,032.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.