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Finding the Fourth Proportional to 122,415.81, 183,658 and 43,538.01

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Solution

The fourth proportional to 122,415.81, 183,658 and 43,538.01 is: 65,319.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,415.81 : 183,658 = 43,538.01 : x
  2. Step 2: Convert to fraction form
    122,415.81/183,658 = 43,538.01/x
  3. Step 3: Cross multiply
    122,415.81x = 183,658 × 43,538.01
  4. Step 4: Simplify right side
    122,415.81x = 7,996,103,840.58
  5. Step 5: Solve for x
    x = 7,996,103,840.58/122,415.81
  6. Step 6: Final answer
    x = 65,319.21

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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.