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Finding the Fourth Proportional to 122,547.42, 183,978.56 and 94,485.30

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Solution

The fourth proportional to 122,547.42, 183,978.56 and 94,485.30 is: 141,849.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,547.42 : 183,978.56 = 94,485.30 : x
  2. Step 2: Convert to fraction form
    122,547.42/183,978.56 = 94,485.30/x
  3. Step 3: Cross multiply
    122,547.42x = 183,978.56 × 94,485.30
  4. Step 4: Simplify right side
    122,547.42x = 17,383,268,962.74
  5. Step 5: Solve for x
    x = 17,383,268,962.74/122,547.42
  6. Step 6: Final answer
    x = 141,849.33

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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.