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Finding the Fourth Proportional to 176,078.20, 264,117.30 and 51,419.20

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Solution

The fourth proportional to 176,078.20, 264,117.30 and 51,419.20 is: 77,128.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,078.20 : 264,117.30 = 51,419.20 : x
  2. Step 2: Convert to fraction form
    176,078.20/264,117.30 = 51,419.20/x
  3. Step 3: Cross multiply
    176,078.20x = 264,117.30 × 51,419.20
  4. Step 4: Simplify right side
    176,078.20x = 13,580,700,272.16
  5. Step 5: Solve for x
    x = 13,580,700,272.16/176,078.20
  6. Step 6: Final answer
    x = 77,128.80

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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.