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Finding the Fourth Proportional to 123,004.90, 169,668.03 and 77,602.78

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Solution

The fourth proportional to 123,004.90, 169,668.03 and 77,602.78 is: 107,042.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,004.90 : 169,668.03 = 77,602.78 : x
  2. Step 2: Convert to fraction form
    123,004.90/169,668.03 = 77,602.78/x
  3. Step 3: Cross multiply
    123,004.90x = 169,668.03 × 77,602.78
  4. Step 4: Simplify right side
    123,004.90x = 13,166,710,805.12
  5. Step 5: Solve for x
    x = 13,166,710,805.12/123,004.90
  6. Step 6: Final answer
    x = 107,042.17

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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.