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Finding the Fourth Proportional to 188,648, 282,973.92 and 57,320

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Solution

The fourth proportional to 188,648, 282,973.92 and 57,320 is: 85,980.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,648 : 282,973.92 = 57,320 : x
  2. Step 2: Convert to fraction form
    188,648/282,973.92 = 57,320/x
  3. Step 3: Cross multiply
    188,648x = 282,973.92 × 57,320
  4. Step 4: Simplify right side
    188,648x = 16,220,065,094.40
  5. Step 5: Solve for x
    x = 16,220,065,094.40/188,648
  6. Step 6: Final answer
    x = 85,980.58

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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.