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Finding the Fourth Proportional to 77,126.40, 115,459.20 and 45,945.60

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Solution

The fourth proportional to 77,126.40, 115,459.20 and 45,945.60 is: 68,781.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,126.40 : 115,459.20 = 45,945.60 : x
  2. Step 2: Convert to fraction form
    77,126.40/115,459.20 = 45,945.60/x
  3. Step 3: Cross multiply
    77,126.40x = 115,459.20 × 45,945.60
  4. Step 4: Simplify right side
    77,126.40x = 5,304,842,219.52
  5. Step 5: Solve for x
    x = 5,304,842,219.52/77,126.40
  6. Step 6: Final answer
    x = 68,781.15

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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.