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Finding the Fourth Proportional to 78,132.03, 107,821.77 and 42,322.74

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Solution

The fourth proportional to 78,132.03, 107,821.77 and 42,322.74 is: 58,405.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,132.03 : 107,821.77 = 42,322.74 : x
  2. Step 2: Convert to fraction form
    78,132.03/107,821.77 = 42,322.74/x
  3. Step 3: Cross multiply
    78,132.03x = 107,821.77 × 42,322.74
  4. Step 4: Simplify right side
    78,132.03x = 4,563,312,175.01
  5. Step 5: Solve for x
    x = 4,563,312,175.01/78,132.03
  6. Step 6: Final answer
    x = 58,405.14

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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.