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Finding the Fourth Proportional to 123,368.68, 170,275.76 and 78,107

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Solution

The fourth proportional to 123,368.68, 170,275.76 and 78,107 is: 107,804.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,368.68 : 170,275.76 = 78,107 : x
  2. Step 2: Convert to fraction form
    123,368.68/170,275.76 = 78,107/x
  3. Step 3: Cross multiply
    123,368.68x = 170,275.76 × 78,107
  4. Step 4: Simplify right side
    123,368.68x = 13,299,728,786.32
  5. Step 5: Solve for x
    x = 13,299,728,786.32/123,368.68
  6. Step 6: Final answer
    x = 107,804.74

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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.