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Finding the Fourth Proportional to 251,643.89, 347,258.16 and 136,923.01

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Solution

The fourth proportional to 251,643.89, 347,258.16 and 136,923.01 is: 188,948.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,643.89 : 347,258.16 = 136,923.01 : x
  2. Step 2: Convert to fraction form
    251,643.89/347,258.16 = 136,923.01/x
  3. Step 3: Cross multiply
    251,643.89x = 347,258.16 × 136,923.01
  4. Step 4: Simplify right side
    251,643.89x = 47,547,631,646.12
  5. Step 5: Solve for x
    x = 47,547,631,646.12/251,643.89
  6. Step 6: Final answer
    x = 188,948.09

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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.