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Finding the Fourth Proportional to 123,776.64, 170,950.96 and 83,656.08

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Solution

The fourth proportional to 123,776.64, 170,950.96 and 83,656.08 is: 115,539.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,776.64 : 170,950.96 = 83,656.08 : x
  2. Step 2: Convert to fraction form
    123,776.64/170,950.96 = 83,656.08/x
  3. Step 3: Cross multiply
    123,776.64x = 170,950.96 × 83,656.08
  4. Step 4: Simplify right side
    123,776.64x = 14,301,087,185.84
  5. Step 5: Solve for x
    x = 14,301,087,185.84/123,776.64
  6. Step 6: Final answer
    x = 115,539.47

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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.