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Finding the Fourth Proportional to 139,201.51, 208,734.23 and 97,101.76

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Solution

The fourth proportional to 139,201.51, 208,734.23 and 97,101.76 is: 145,605.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,201.51 : 208,734.23 = 97,101.76 : x
  2. Step 2: Convert to fraction form
    139,201.51/208,734.23 = 97,101.76/x
  3. Step 3: Cross multiply
    139,201.51x = 208,734.23 × 97,101.76
  4. Step 4: Simplify right side
    139,201.51x = 20,268,460,619.74
  5. Step 5: Solve for x
    x = 20,268,460,619.74/139,201.51
  6. Step 6: Final answer
    x = 145,605.18

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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.