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Finding the Fourth Proportional to 97,106.64, 134,007.38 and 54,085.78

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Solution

The fourth proportional to 97,106.64, 134,007.38 and 54,085.78 is: 74,638.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,106.64 : 134,007.38 = 54,085.78 : x
  2. Step 2: Convert to fraction form
    97,106.64/134,007.38 = 54,085.78/x
  3. Step 3: Cross multiply
    97,106.64x = 134,007.38 × 54,085.78
  4. Step 4: Simplify right side
    97,106.64x = 7,247,893,673.06
  5. Step 5: Solve for x
    x = 7,247,893,673.06/97,106.64
  6. Step 6: Final answer
    x = 74,638.50

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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.