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Finding the Fourth Proportional to 78,179.74, 117,282.06 and 28,254.78

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Solution

The fourth proportional to 78,179.74, 117,282.06 and 28,254.78 is: 42,386.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,179.74 : 117,282.06 = 28,254.78 : x
  2. Step 2: Convert to fraction form
    78,179.74/117,282.06 = 28,254.78/x
  3. Step 3: Cross multiply
    78,179.74x = 117,282.06 × 28,254.78
  4. Step 4: Simplify right side
    78,179.74x = 3,313,778,803.25
  5. Step 5: Solve for x
    x = 3,313,778,803.25/78,179.74
  6. Step 6: Final answer
    x = 42,386.67

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1.5x scale

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.