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Finding the Fourth Proportional to 81,543, 112,529.54 and 47,574.84

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Solution

The fourth proportional to 81,543, 112,529.54 and 47,574.84 is: 65,653.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,543 : 112,529.54 = 47,574.84 : x
  2. Step 2: Convert to fraction form
    81,543/112,529.54 = 47,574.84/x
  3. Step 3: Cross multiply
    81,543x = 112,529.54 × 47,574.84
  4. Step 4: Simplify right side
    81,543x = 5,353,574,860.77
  5. Step 5: Solve for x
    x = 5,353,574,860.77/81,543
  6. Step 6: Final answer
    x = 65,653.40

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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.