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Finding the Fourth Proportional to 123,547.84, 170,489.41 and 69,829.66

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Solution

The fourth proportional to 123,547.84, 170,489.41 and 69,829.66 is: 96,361.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,547.84 : 170,489.41 = 69,829.66 : x
  2. Step 2: Convert to fraction form
    123,547.84/170,489.41 = 69,829.66/x
  3. Step 3: Cross multiply
    123,547.84x = 170,489.41 × 69,829.66
  4. Step 4: Simplify right side
    123,547.84x = 11,905,216,853.19
  5. Step 5: Solve for x
    x = 11,905,216,853.19/123,547.84
  6. Step 6: Final answer
    x = 96,361.19

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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.