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Finding the Fourth Proportional to 77,341, 106,548.42 and 72,690.88

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Solution

The fourth proportional to 77,341, 106,548.42 and 72,690.88 is: 100,142.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,341 : 106,548.42 = 72,690.88 : x
  2. Step 2: Convert to fraction form
    77,341/106,548.42 = 72,690.88/x
  3. Step 3: Cross multiply
    77,341x = 106,548.42 × 72,690.88
  4. Step 4: Simplify right side
    77,341x = 7,745,098,412.41
  5. Step 5: Solve for x
    x = 7,745,098,412.41/77,341
  6. Step 6: Final answer
    x = 100,142.21

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1.5x scale

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.