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Finding the Fourth Proportional to 186,822.67, 280,383.46 and 98,128.48

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Solution

The fourth proportional to 186,822.67, 280,383.46 and 98,128.48 is: 147,271.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,822.67 : 280,383.46 = 98,128.48 : x
  2. Step 2: Convert to fraction form
    186,822.67/280,383.46 = 98,128.48/x
  3. Step 3: Cross multiply
    186,822.67x = 280,383.46 × 98,128.48
  4. Step 4: Simplify right side
    186,822.67x = 27,513,602,746.94
  5. Step 5: Solve for x
    x = 27,513,602,746.94/186,822.67
  6. Step 6: Final answer
    x = 147,271.22

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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.