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Finding the Fourth Proportional to 118,540.71, 163,536.57 and 77,714.64

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Solution

The fourth proportional to 118,540.71, 163,536.57 and 77,714.64 is: 107,213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,540.71 : 163,536.57 = 77,714.64 : x
  2. Step 2: Convert to fraction form
    118,540.71/163,536.57 = 77,714.64/x
  3. Step 3: Cross multiply
    118,540.71x = 163,536.57 × 77,714.64
  4. Step 4: Simplify right side
    118,540.71x = 12,709,185,275.81
  5. Step 5: Solve for x
    x = 12,709,185,275.81/118,540.71
  6. Step 6: Final answer
    x = 107,213.67

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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.