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Finding the Fourth Proportional to 46,963.71, 70,412.09 and 21,990.06

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Solution

The fourth proportional to 46,963.71, 70,412.09 and 21,990.06 is: 32,969.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,963.71 : 70,412.09 = 21,990.06 : x
  2. Step 2: Convert to fraction form
    46,963.71/70,412.09 = 21,990.06/x
  3. Step 3: Cross multiply
    46,963.71x = 70,412.09 × 21,990.06
  4. Step 4: Simplify right side
    46,963.71x = 1,548,365,973.88
  5. Step 5: Solve for x
    x = 1,548,365,973.88/46,963.71
  6. Step 6: Final answer
    x = 32,969.41

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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.