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Finding the Fourth Proportional to 97,794, 134,962.47 and 55,352.70

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Solution

The fourth proportional to 97,794, 134,962.47 and 55,352.70 is: 76,390.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,794 : 134,962.47 = 55,352.70 : x
  2. Step 2: Convert to fraction form
    97,794/134,962.47 = 55,352.70/x
  3. Step 3: Cross multiply
    97,794x = 134,962.47 × 55,352.70
  4. Step 4: Simplify right side
    97,794x = 7,470,537,113.17
  5. Step 5: Solve for x
    x = 7,470,537,113.17/97,794
  6. Step 6: Final answer
    x = 76,390.55

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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.