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Finding the Fourth Proportional to 147,804.72, 203,971.86 and 84,146.64

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Solution

The fourth proportional to 147,804.72, 203,971.86 and 84,146.64 is: 116,123.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,804.72 : 203,971.86 = 84,146.64 : x
  2. Step 2: Convert to fraction form
    147,804.72/203,971.86 = 84,146.64/x
  3. Step 3: Cross multiply
    147,804.72x = 203,971.86 × 84,146.64
  4. Step 4: Simplify right side
    147,804.72x = 17,163,546,673.55
  5. Step 5: Solve for x
    x = 17,163,546,673.55/147,804.72
  6. Step 6: Final answer
    x = 116,123.13

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1.5x scale

Why These Related Problems?

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