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Finding the Fourth Proportional to 188,518.80, 282,570.84 and 77,650.32

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Solution

The fourth proportional to 188,518.80, 282,570.84 and 77,650.32 is: 116,390.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,518.80 : 282,570.84 = 77,650.32 : x
  2. Step 2: Convert to fraction form
    188,518.80/282,570.84 = 77,650.32/x
  3. Step 3: Cross multiply
    188,518.80x = 282,570.84 × 77,650.32
  4. Step 4: Simplify right side
    188,518.80x = 21,941,716,148.67
  5. Step 5: Solve for x
    x = 21,941,716,148.67/188,518.80
  6. Step 6: Final answer
    x = 116,390.07

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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.