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Finding the Fourth Proportional to 140,078, 193,307.64 and 76,416.05

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Solution

The fourth proportional to 140,078, 193,307.64 and 76,416.05 is: 105,454.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,078 : 193,307.64 = 76,416.05 : x
  2. Step 2: Convert to fraction form
    140,078/193,307.64 = 76,416.05/x
  3. Step 3: Cross multiply
    140,078x = 193,307.64 × 76,416.05
  4. Step 4: Simplify right side
    140,078x = 14,771,806,283.62
  5. Step 5: Solve for x
    x = 14,771,806,283.62/140,078
  6. Step 6: Final answer
    x = 105,454.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.