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Finding the Fourth Proportional to 78,264.32, 117,386.90 and 33,303.74

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Solution

The fourth proportional to 78,264.32, 117,386.90 and 33,303.74 is: 49,951.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,264.32 : 117,386.90 = 33,303.74 : x
  2. Step 2: Convert to fraction form
    78,264.32/117,386.90 = 33,303.74/x
  3. Step 3: Cross multiply
    78,264.32x = 117,386.90 × 33,303.74
  4. Step 4: Simplify right side
    78,264.32x = 3,909,422,698.21
  5. Step 5: Solve for x
    x = 3,909,422,698.21/78,264.32
  6. Step 6: Final answer
    x = 49,951.53

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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.