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Finding the Fourth Proportional to 56,294, 77,679 and 31,140.08

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Solution

The fourth proportional to 56,294, 77,679 and 31,140.08 is: 42,969.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,294 : 77,679 = 31,140.08 : x
  2. Step 2: Convert to fraction form
    56,294/77,679 = 31,140.08/x
  3. Step 3: Cross multiply
    56,294x = 77,679 × 31,140.08
  4. Step 4: Simplify right side
    56,294x = 2,418,930,274.32
  5. Step 5: Solve for x
    x = 2,418,930,274.32/56,294
  6. Step 6: Final answer
    x = 42,969.59

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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.