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Finding the Fourth Proportional to 77,692.42, 116,538.62 and 30,978.10

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Solution

The fourth proportional to 77,692.42, 116,538.62 and 30,978.10 is: 46,467.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,692.42 : 116,538.62 = 30,978.10 : x
  2. Step 2: Convert to fraction form
    77,692.42/116,538.62 = 30,978.10/x
  3. Step 3: Cross multiply
    77,692.42x = 116,538.62 × 30,978.10
  4. Step 4: Simplify right side
    77,692.42x = 3,610,145,024.22
  5. Step 5: Solve for x
    x = 3,610,145,024.22/77,692.42
  6. Step 6: Final answer
    x = 46,467.15

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1.5x scale

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.