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Finding the Fourth Proportional to 74,122.90, 102,296.93 and 42,296.58

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Solution

The fourth proportional to 74,122.90, 102,296.93 and 42,296.58 is: 58,373.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,122.90 : 102,296.93 = 42,296.58 : x
  2. Step 2: Convert to fraction form
    74,122.90/102,296.93 = 42,296.58/x
  3. Step 3: Cross multiply
    74,122.90x = 102,296.93 × 42,296.58
  4. Step 4: Simplify right side
    74,122.90x = 4,326,810,072.02
  5. Step 5: Solve for x
    x = 4,326,810,072.02/74,122.90
  6. Step 6: Final answer
    x = 58,373.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.