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Finding the Fourth Proportional to 51,712, 71,362.56 and 28,160

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Solution

The fourth proportional to 51,712, 71,362.56 and 28,160 is: 38,860.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,712 : 71,362.56 = 28,160 : x
  2. Step 2: Convert to fraction form
    51,712/71,362.56 = 28,160/x
  3. Step 3: Cross multiply
    51,712x = 71,362.56 × 28,160
  4. Step 4: Simplify right side
    51,712x = 2,009,569,689.60
  5. Step 5: Solve for x
    x = 2,009,569,689.60/51,712
  6. Step 6: Final answer
    x = 38,860.80

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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.