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Finding the Fourth Proportional to 78,310, 108,157.52 and 51,572

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Solution

The fourth proportional to 78,310, 108,157.52 and 51,572 is: 71,228.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,310 : 108,157.52 = 51,572 : x
  2. Step 2: Convert to fraction form
    78,310/108,157.52 = 51,572/x
  3. Step 3: Cross multiply
    78,310x = 108,157.52 × 51,572
  4. Step 4: Simplify right side
    78,310x = 5,577,899,621.44
  5. Step 5: Solve for x
    x = 5,577,899,621.44/78,310
  6. Step 6: Final answer
    x = 71,228.45

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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.