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Finding the Fourth Proportional to 81,729, 112,711.14 and 53,018.76

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Solution

The fourth proportional to 81,729, 112,711.14 and 53,018.76 is: 73,117.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,729 : 112,711.14 = 53,018.76 : x
  2. Step 2: Convert to fraction form
    81,729/112,711.14 = 53,018.76/x
  3. Step 3: Cross multiply
    81,729x = 112,711.14 × 53,018.76
  4. Step 4: Simplify right side
    81,729x = 5,975,804,880.99
  5. Step 5: Solve for x
    x = 5,975,804,880.99/81,729
  6. Step 6: Final answer
    x = 73,117.31

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1.5x scale

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.