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Finding the Fourth Proportional to 45,689.40, 68,509.80 and 19,364.40

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Solution

The fourth proportional to 45,689.40, 68,509.80 and 19,364.40 is: 29,036.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,689.40 : 68,509.80 = 19,364.40 : x
  2. Step 2: Convert to fraction form
    45,689.40/68,509.80 = 19,364.40/x
  3. Step 3: Cross multiply
    45,689.40x = 68,509.80 × 19,364.40
  4. Step 4: Simplify right side
    45,689.40x = 1,326,651,171.12
  5. Step 5: Solve for x
    x = 1,326,651,171.12/45,689.40
  6. Step 6: Final answer
    x = 29,036.30

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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.