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Finding the Fourth Proportional to 139,954.32, 209,931.47 and 46,460.07

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Solution

The fourth proportional to 139,954.32, 209,931.47 and 46,460.07 is: 69,690.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,954.32 : 209,931.47 = 46,460.07 : x
  2. Step 2: Convert to fraction form
    139,954.32/209,931.47 = 46,460.07/x
  3. Step 3: Cross multiply
    139,954.32x = 209,931.47 × 46,460.07
  4. Step 4: Simplify right side
    139,954.32x = 9,753,430,559.10
  5. Step 5: Solve for x
    x = 9,753,430,559.10/139,954.32
  6. Step 6: Final answer
    x = 69,690.10

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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.