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Finding the Fourth Proportional to 77,430.40, 116,145.60 and 65,620.60

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Solution

The fourth proportional to 77,430.40, 116,145.60 and 65,620.60 is: 98,430.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,430.40 : 116,145.60 = 65,620.60 : x
  2. Step 2: Convert to fraction form
    77,430.40/116,145.60 = 65,620.60/x
  3. Step 3: Cross multiply
    77,430.40x = 116,145.60 × 65,620.60
  4. Step 4: Simplify right side
    77,430.40x = 7,621,543,959.36
  5. Step 5: Solve for x
    x = 7,621,543,959.36/77,430.40
  6. Step 6: Final answer
    x = 98,430.90

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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.