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Finding the Fourth Proportional to 139,807.28, 209,713.36 and 46,315.48

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Solution

The fourth proportional to 139,807.28, 209,713.36 and 46,315.48 is: 69,474.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,807.28 : 209,713.36 = 46,315.48 : x
  2. Step 2: Convert to fraction form
    139,807.28/209,713.36 = 46,315.48/x
  3. Step 3: Cross multiply
    139,807.28x = 209,713.36 × 46,315.48
  4. Step 4: Simplify right side
    139,807.28x = 9,712,974,930.81
  5. Step 5: Solve for x
    x = 9,712,974,930.81/139,807.28
  6. Step 6: Final answer
    x = 69,474.03

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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.