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Finding the Fourth Proportional to 55,851.50, 77,075.08 and 31,986.06

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Solution

The fourth proportional to 55,851.50, 77,075.08 and 31,986.06 is: 44,140.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,851.50 : 77,075.08 = 31,986.06 : x
  2. Step 2: Convert to fraction form
    55,851.50/77,075.08 = 31,986.06/x
  3. Step 3: Cross multiply
    55,851.50x = 77,075.08 × 31,986.06
  4. Step 4: Simplify right side
    55,851.50x = 2,465,328,133.38
  5. Step 5: Solve for x
    x = 2,465,328,133.38/55,851.50
  6. Step 6: Final answer
    x = 44,140.77

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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.