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Finding the Fourth Proportional to 46,984.32, 70,476.48 and 20,689.20

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Solution

The fourth proportional to 46,984.32, 70,476.48 and 20,689.20 is: 31,033.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,984.32 : 70,476.48 = 20,689.20 : x
  2. Step 2: Convert to fraction form
    46,984.32/70,476.48 = 20,689.20/x
  3. Step 3: Cross multiply
    46,984.32x = 70,476.48 × 20,689.20
  4. Step 4: Simplify right side
    46,984.32x = 1,458,101,990.02
  5. Step 5: Solve for x
    x = 1,458,101,990.02/46,984.32
  6. Step 6: Final answer
    x = 31,033.80

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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.