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Finding the Fourth Proportional to 188,762.16, 282,945.80 and 70,382

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Solution

The fourth proportional to 188,762.16, 282,945.80 and 70,382 is: 105,499.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,762.16 : 282,945.80 = 70,382 : x
  2. Step 2: Convert to fraction form
    188,762.16/282,945.80 = 70,382/x
  3. Step 3: Cross multiply
    188,762.16x = 282,945.80 × 70,382
  4. Step 4: Simplify right side
    188,762.16x = 19,914,291,295.60
  5. Step 5: Solve for x
    x = 19,914,291,295.60/188,762.16
  6. Step 6: Final answer
    x = 105,499.38

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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.