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Finding the Fourth Proportional to 56,982.51, 78,638.88 and 34,328.63

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Solution

The fourth proportional to 56,982.51, 78,638.88 and 34,328.63 is: 47,375.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,982.51 : 78,638.88 = 34,328.63 : x
  2. Step 2: Convert to fraction form
    56,982.51/78,638.88 = 34,328.63/x
  3. Step 3: Cross multiply
    56,982.51x = 78,638.88 × 34,328.63
  4. Step 4: Simplify right side
    56,982.51x = 2,699,564,621.94
  5. Step 5: Solve for x
    x = 2,699,564,621.94/56,982.51
  6. Step 6: Final answer
    x = 47,375.32

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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.