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Finding the Fourth Proportional to 76,797.82, 105,977.58 and 42,810.02

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Solution

The fourth proportional to 76,797.82, 105,977.58 and 42,810.02 is: 59,075.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,797.82 : 105,977.58 = 42,810.02 : x
  2. Step 2: Convert to fraction form
    76,797.82/105,977.58 = 42,810.02/x
  3. Step 3: Cross multiply
    76,797.82x = 105,977.58 × 42,810.02
  4. Step 4: Simplify right side
    76,797.82x = 4,536,902,319.35
  5. Step 5: Solve for x
    x = 4,536,902,319.35/76,797.82
  6. Step 6: Final answer
    x = 59,075.93

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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.