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Finding the Fourth Proportional to 286,013.73, 429,023.08 and 72,781.84

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Solution

The fourth proportional to 286,013.73, 429,023.08 and 72,781.84 is: 109,173.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,013.73 : 429,023.08 = 72,781.84 : x
  2. Step 2: Convert to fraction form
    286,013.73/429,023.08 = 72,781.84/x
  3. Step 3: Cross multiply
    286,013.73x = 429,023.08 × 72,781.84
  4. Step 4: Simplify right side
    286,013.73x = 31,225,089,792.12
  5. Step 5: Solve for x
    x = 31,225,089,792.12/286,013.73
  6. Step 6: Final answer
    x = 109,173.39

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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.