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Finding the Fourth Proportional to 66,421.10, 91,657.77 and 37,737

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Solution

The fourth proportional to 66,421.10, 91,657.77 and 37,737 is: 52,075.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,421.10 : 91,657.77 = 37,737 : x
  2. Step 2: Convert to fraction form
    66,421.10/91,657.77 = 37,737/x
  3. Step 3: Cross multiply
    66,421.10x = 91,657.77 × 37,737
  4. Step 4: Simplify right side
    66,421.10x = 3,458,889,266.49
  5. Step 5: Solve for x
    x = 3,458,889,266.49/66,421.10
  6. Step 6: Final answer
    x = 52,075.16

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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.