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Finding the Fourth Proportional to 76,797.50, 105,981.02 and 42,808.13

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Solution

The fourth proportional to 76,797.50, 105,981.02 and 42,808.13 is: 59,075.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,797.50 : 105,981.02 = 42,808.13 : x
  2. Step 2: Convert to fraction form
    76,797.50/105,981.02 = 42,808.13/x
  3. Step 3: Cross multiply
    76,797.50x = 105,981.02 × 42,808.13
  4. Step 4: Simplify right side
    76,797.50x = 4,536,848,537.75
  5. Step 5: Solve for x
    x = 4,536,848,537.75/76,797.50
  6. Step 6: Final answer
    x = 59,075.48

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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.