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Finding the Fourth Proportional to 78,447.84, 117,670.74 and 19,284.04

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Solution

The fourth proportional to 78,447.84, 117,670.74 and 19,284.04 is: 28,925.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,447.84 : 117,670.74 = 19,284.04 : x
  2. Step 2: Convert to fraction form
    78,447.84/117,670.74 = 19,284.04/x
  3. Step 3: Cross multiply
    78,447.84x = 117,670.74 × 19,284.04
  4. Step 4: Simplify right side
    78,447.84x = 2,269,167,256.99
  5. Step 5: Solve for x
    x = 2,269,167,256.99/78,447.84
  6. Step 6: Final answer
    x = 28,925.81

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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.