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Finding the Fourth Proportional to 78,076.93, 107,746.14 and 42,266.92

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Solution

The fourth proportional to 78,076.93, 107,746.14 and 42,266.92 is: 58,328.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,076.93 : 107,746.14 = 42,266.92 : x
  2. Step 2: Convert to fraction form
    78,076.93/107,746.14 = 42,266.92/x
  3. Step 3: Cross multiply
    78,076.93x = 107,746.14 × 42,266.92
  4. Step 4: Simplify right side
    78,076.93x = 4,554,096,940.96
  5. Step 5: Solve for x
    x = 4,554,096,940.96/78,076.93
  6. Step 6: Final answer
    x = 58,328.33

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1.5x scale

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.