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Finding the Fourth Proportional to 123,415.96, 170,186.70 and 105,570.04

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Solution

The fourth proportional to 123,415.96, 170,186.70 and 105,570.04 is: 145,577.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,415.96 : 170,186.70 = 105,570.04 : x
  2. Step 2: Convert to fraction form
    123,415.96/170,186.70 = 105,570.04/x
  3. Step 3: Cross multiply
    123,415.96x = 170,186.70 × 105,570.04
  4. Step 4: Simplify right side
    123,415.96x = 17,966,616,726.47
  5. Step 5: Solve for x
    x = 17,966,616,726.47/123,415.96
  6. Step 6: Final answer
    x = 145,577.74

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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.