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Finding the Fourth Proportional to 78,132.42, 117,041.91 and 35,953.74

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Solution

The fourth proportional to 78,132.42, 117,041.91 and 35,953.74 is: 53,858.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,132.42 : 117,041.91 = 35,953.74 : x
  2. Step 2: Convert to fraction form
    78,132.42/117,041.91 = 35,953.74/x
  3. Step 3: Cross multiply
    78,132.42x = 117,041.91 × 35,953.74
  4. Step 4: Simplify right side
    78,132.42x = 4,208,094,401.24
  5. Step 5: Solve for x
    x = 4,208,094,401.24/78,132.42
  6. Step 6: Final answer
    x = 53,858.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.