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Finding the Fourth Proportional to 78,842.84, 118,264.26 and 28,904.06

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Solution

The fourth proportional to 78,842.84, 118,264.26 and 28,904.06 is: 43,356.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,842.84 : 118,264.26 = 28,904.06 : x
  2. Step 2: Convert to fraction form
    78,842.84/118,264.26 = 28,904.06/x
  3. Step 3: Cross multiply
    78,842.84x = 118,264.26 × 28,904.06
  4. Step 4: Simplify right side
    78,842.84x = 3,418,317,266.90
  5. Step 5: Solve for x
    x = 3,418,317,266.90/78,842.84
  6. Step 6: Final answer
    x = 43,356.09

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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.