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Finding the Fourth Proportional to 78,657.16, 108,460.74 and 71,192.20

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Solution

The fourth proportional to 78,657.16, 108,460.74 and 71,192.20 is: 98,167.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,657.16 : 108,460.74 = 71,192.20 : x
  2. Step 2: Convert to fraction form
    78,657.16/108,460.74 = 71,192.20/x
  3. Step 3: Cross multiply
    78,657.16x = 108,460.74 × 71,192.20
  4. Step 4: Simplify right side
    78,657.16x = 7,721,558,694.23
  5. Step 5: Solve for x
    x = 7,721,558,694.23/78,657.16
  6. Step 6: Final answer
    x = 98,167.27

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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.