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Finding the Fourth Proportional to 188,289.42, 282,348 and 112,422.40

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Solution

The fourth proportional to 188,289.42, 282,348 and 112,422.40 is: 168,582.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,289.42 : 282,348 = 112,422.40 : x
  2. Step 2: Convert to fraction form
    188,289.42/282,348 = 112,422.40/x
  3. Step 3: Cross multiply
    188,289.42x = 282,348 × 112,422.40
  4. Step 4: Simplify right side
    188,289.42x = 31,742,239,795.20
  5. Step 5: Solve for x
    x = 31,742,239,795.20/188,289.42
  6. Step 6: Final answer
    x = 168,582.17

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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.