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Finding the Fourth Proportional to 139,182, 208,807.68 and 40,686

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Solution

The fourth proportional to 139,182, 208,807.68 and 40,686 is: 61,039.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,182 : 208,807.68 = 40,686 : x
  2. Step 2: Convert to fraction form
    139,182/208,807.68 = 40,686/x
  3. Step 3: Cross multiply
    139,182x = 208,807.68 × 40,686
  4. Step 4: Simplify right side
    139,182x = 8,495,549,268.48
  5. Step 5: Solve for x
    x = 8,495,549,268.48/139,182
  6. Step 6: Final answer
    x = 61,039.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.