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Finding the Fourth Proportional to 56,107.88, 77,430.49 and 30,959.00

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Solution

The fourth proportional to 56,107.88, 77,430.49 and 30,959.00 is: 42,724.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,107.88 : 77,430.49 = 30,959.00 : x
  2. Step 2: Convert to fraction form
    56,107.88/77,430.49 = 30,959.00/x
  3. Step 3: Cross multiply
    56,107.88x = 77,430.49 × 30,959.00
  4. Step 4: Simplify right side
    56,107.88x = 2,397,170,075.36
  5. Step 5: Solve for x
    x = 2,397,170,075.36/56,107.88
  6. Step 6: Final answer
    x = 42,724.31

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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.