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Finding the Fourth Proportional to 56,293, 77,677.62 and 31,139.08

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Solution

The fourth proportional to 56,293, 77,677.62 and 31,139.08 is: 42,968.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,293 : 77,677.62 = 31,139.08 : x
  2. Step 2: Convert to fraction form
    56,293/77,677.62 = 31,139.08/x
  3. Step 3: Cross multiply
    56,293x = 77,677.62 × 31,139.08
  4. Step 4: Simplify right side
    56,293x = 2,418,809,623.39
  5. Step 5: Solve for x
    x = 2,418,809,623.39/56,293
  6. Step 6: Final answer
    x = 42,968.21

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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.