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Finding the Fourth Proportional to 78,135.51, 107,820.58 and 44,146.95

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Solution

The fourth proportional to 78,135.51, 107,820.58 and 44,146.95 is: 60,919.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,135.51 : 107,820.58 = 44,146.95 : x
  2. Step 2: Convert to fraction form
    78,135.51/107,820.58 = 44,146.95/x
  3. Step 3: Cross multiply
    78,135.51x = 107,820.58 × 44,146.95
  4. Step 4: Simplify right side
    78,135.51x = 4,759,949,754.23
  5. Step 5: Solve for x
    x = 4,759,949,754.23/78,135.51
  6. Step 6: Final answer
    x = 60,919.16

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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.