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Finding the Fourth Proportional to 45,878.64, 68,828.76 and 14,287.20

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Solution

The fourth proportional to 45,878.64, 68,828.76 and 14,287.20 is: 21,434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,878.64 : 68,828.76 = 14,287.20 : x
  2. Step 2: Convert to fraction form
    45,878.64/68,828.76 = 14,287.20/x
  3. Step 3: Cross multiply
    45,878.64x = 68,828.76 × 14,287.20
  4. Step 4: Simplify right side
    45,878.64x = 983,370,259.87
  5. Step 5: Solve for x
    x = 983,370,259.87/45,878.64
  6. Step 6: Final answer
    x = 21,434.16

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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.