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Finding the Fourth Proportional to 149,547.62, 206,376 and 81,564.68

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Solution

The fourth proportional to 149,547.62, 206,376 and 81,564.68 is: 112,559.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,547.62 : 206,376 = 81,564.68 : x
  2. Step 2: Convert to fraction form
    149,547.62/206,376 = 81,564.68/x
  3. Step 3: Cross multiply
    149,547.62x = 206,376 × 81,564.68
  4. Step 4: Simplify right side
    149,547.62x = 16,832,992,399.68
  5. Step 5: Solve for x
    x = 16,832,992,399.68/149,547.62
  6. Step 6: Final answer
    x = 112,559.41

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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.