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Finding the Fourth Proportional to 57,295.76, 86,075.40 and 40,696.16

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Solution

The fourth proportional to 57,295.76, 86,075.40 and 40,696.16 is: 61,137.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,295.76 : 86,075.40 = 40,696.16 : x
  2. Step 2: Convert to fraction form
    57,295.76/86,075.40 = 40,696.16/x
  3. Step 3: Cross multiply
    57,295.76x = 86,075.40 × 40,696.16
  4. Step 4: Simplify right side
    57,295.76x = 3,502,938,250.46
  5. Step 5: Solve for x
    x = 3,502,938,250.46/57,295.76
  6. Step 6: Final answer
    x = 61,137.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.