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Finding the Fourth Proportional to 94,782.80, 130,808 and 54,509.60

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Solution

The fourth proportional to 94,782.80, 130,808 and 54,509.60 is: 75,227.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,782.80 : 130,808 = 54,509.60 : x
  2. Step 2: Convert to fraction form
    94,782.80/130,808 = 54,509.60/x
  3. Step 3: Cross multiply
    94,782.80x = 130,808 × 54,509.60
  4. Step 4: Simplify right side
    94,782.80x = 7,130,291,756.80
  5. Step 5: Solve for x
    x = 7,130,291,756.80/94,782.80
  6. Step 6: Final answer
    x = 75,227.70

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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.