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Finding the Fourth Proportional to 186,561.97, 257,461.55 and 105,988.03

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Solution

The fourth proportional to 186,561.97, 257,461.55 and 105,988.03 is: 146,266.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,561.97 : 257,461.55 = 105,988.03 : x
  2. Step 2: Convert to fraction form
    186,561.97/257,461.55 = 105,988.03/x
  3. Step 3: Cross multiply
    186,561.97x = 257,461.55 × 105,988.03
  4. Step 4: Simplify right side
    186,561.97x = 27,287,842,485.25
  5. Step 5: Solve for x
    x = 27,287,842,485.25/186,561.97
  6. Step 6: Final answer
    x = 146,266.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.