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Finding the Fourth Proportional to 51,076, 70,484.90 and 28,720

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Solution

The fourth proportional to 51,076, 70,484.90 and 28,720 is: 39,633.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,076 : 70,484.90 = 28,720 : x
  2. Step 2: Convert to fraction form
    51,076/70,484.90 = 28,720/x
  3. Step 3: Cross multiply
    51,076x = 70,484.90 × 28,720
  4. Step 4: Simplify right side
    51,076x = 2,024,326,328.00
  5. Step 5: Solve for x
    x = 2,024,326,328.00/51,076
  6. Step 6: Final answer
    x = 39,633.61

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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.