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Finding the Fourth Proportional to 77,782.80, 116,501.40 and 40,803.60

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Solution

The fourth proportional to 77,782.80, 116,501.40 and 40,803.60 is: 61,114.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,782.80 : 116,501.40 = 40,803.60 : x
  2. Step 2: Convert to fraction form
    77,782.80/116,501.40 = 40,803.60/x
  3. Step 3: Cross multiply
    77,782.80x = 116,501.40 × 40,803.60
  4. Step 4: Simplify right side
    77,782.80x = 4,753,676,525.04
  5. Step 5: Solve for x
    x = 4,753,676,525.04/77,782.80
  6. Step 6: Final answer
    x = 61,114.75

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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.