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Finding the Fourth Proportional to 78,561.44, 108,411.56 and 42,751.60

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Solution

The fourth proportional to 78,561.44, 108,411.56 and 42,751.60 is: 58,995.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,561.44 : 108,411.56 = 42,751.60 : x
  2. Step 2: Convert to fraction form
    78,561.44/108,411.56 = 42,751.60/x
  3. Step 3: Cross multiply
    78,561.44x = 108,411.56 × 42,751.60
  4. Step 4: Simplify right side
    78,561.44x = 4,634,767,564.51
  5. Step 5: Solve for x
    x = 4,634,767,564.51/78,561.44
  6. Step 6: Final answer
    x = 58,995.45

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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.