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Finding the Fourth Proportional to 77,610.40, 116,378.76 and 35,478

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Solution

The fourth proportional to 77,610.40, 116,378.76 and 35,478 is: 53,200.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,610.40 : 116,378.76 = 35,478 : x
  2. Step 2: Convert to fraction form
    77,610.40/116,378.76 = 35,478/x
  3. Step 3: Cross multiply
    77,610.40x = 116,378.76 × 35,478
  4. Step 4: Simplify right side
    77,610.40x = 4,128,885,647.28
  5. Step 5: Solve for x
    x = 4,128,885,647.28/77,610.40
  6. Step 6: Final answer
    x = 53,200.16

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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.