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Finding the Fourth Proportional to 77,101.40, 115,421.70 and 45,920.60

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Solution

The fourth proportional to 77,101.40, 115,421.70 and 45,920.60 is: 68,743.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,101.40 : 115,421.70 = 45,920.60 : x
  2. Step 2: Convert to fraction form
    77,101.40/115,421.70 = 45,920.60/x
  3. Step 3: Cross multiply
    77,101.40x = 115,421.70 × 45,920.60
  4. Step 4: Simplify right side
    77,101.40x = 5,300,233,717.02
  5. Step 5: Solve for x
    x = 5,300,233,717.02/77,101.40
  6. Step 6: Final answer
    x = 68,743.68

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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.