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Finding the Fourth Proportional to 51,102, 70,521.84 and 28,746

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Solution

The fourth proportional to 51,102, 70,521.84 and 28,746 is: 39,670.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,102 : 70,521.84 = 28,746 : x
  2. Step 2: Convert to fraction form
    51,102/70,521.84 = 28,746/x
  3. Step 3: Cross multiply
    51,102x = 70,521.84 × 28,746
  4. Step 4: Simplify right side
    51,102x = 2,027,220,812.64
  5. Step 5: Solve for x
    x = 2,027,220,812.64/51,102
  6. Step 6: Final answer
    x = 39,670.09

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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.