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Finding the Fourth Proportional to 134,602.08, 185,736.24 and 78,031.20

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Solution

The fourth proportional to 134,602.08, 185,736.24 and 78,031.20 is: 107,674.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,602.08 : 185,736.24 = 78,031.20 : x
  2. Step 2: Convert to fraction form
    134,602.08/185,736.24 = 78,031.20/x
  3. Step 3: Cross multiply
    134,602.08x = 185,736.24 × 78,031.20
  4. Step 4: Simplify right side
    134,602.08x = 14,493,221,690.69
  5. Step 5: Solve for x
    x = 14,493,221,690.69/134,602.08
  6. Step 6: Final answer
    x = 107,674.57

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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.