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Finding the Fourth Proportional to 77,842, 107,422.08 and 44,308

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Solution

The fourth proportional to 77,842, 107,422.08 and 44,308 is: 61,145.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,842 : 107,422.08 = 44,308 : x
  2. Step 2: Convert to fraction form
    77,842/107,422.08 = 44,308/x
  3. Step 3: Cross multiply
    77,842x = 107,422.08 × 44,308
  4. Step 4: Simplify right side
    77,842x = 4,759,657,520.64
  5. Step 5: Solve for x
    x = 4,759,657,520.64/77,842
  6. Step 6: Final answer
    x = 61,145.11

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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.