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Finding the Fourth Proportional to 118,910.76, 178,367.22 and 51,430.20

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Solution

The fourth proportional to 118,910.76, 178,367.22 and 51,430.20 is: 77,145.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,910.76 : 178,367.22 = 51,430.20 : x
  2. Step 2: Convert to fraction form
    118,910.76/178,367.22 = 51,430.20/x
  3. Step 3: Cross multiply
    118,910.76x = 178,367.22 × 51,430.20
  4. Step 4: Simplify right side
    118,910.76x = 9,173,461,798.04
  5. Step 5: Solve for x
    x = 9,173,461,798.04/118,910.76
  6. Step 6: Final answer
    x = 77,145.77

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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.