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Finding the Fourth Proportional to 107,692.79, 161,393.60 and 77,758.22

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Solution

The fourth proportional to 107,692.79, 161,393.60 and 77,758.22 is: 116,532.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,692.79 : 161,393.60 = 77,758.22 : x
  2. Step 2: Convert to fraction form
    107,692.79/161,393.60 = 77,758.22/x
  3. Step 3: Cross multiply
    107,692.79x = 161,393.60 × 77,758.22
  4. Step 4: Simplify right side
    107,692.79x = 12,549,677,859.63
  5. Step 5: Solve for x
    x = 12,549,677,859.63/107,692.79
  6. Step 6: Final answer
    x = 116,532.21

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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.