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Finding the Fourth Proportional to 52,308, 78,462.72 and 28,980

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Solution

The fourth proportional to 52,308, 78,462.72 and 28,980 is: 43,470.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,308 : 78,462.72 = 28,980 : x
  2. Step 2: Convert to fraction form
    52,308/78,462.72 = 28,980/x
  3. Step 3: Cross multiply
    52,308x = 78,462.72 × 28,980
  4. Step 4: Simplify right side
    52,308x = 2,273,849,625.60
  5. Step 5: Solve for x
    x = 2,273,849,625.60/52,308
  6. Step 6: Final answer
    x = 43,470.40

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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.