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Finding the Fourth Proportional to 76,415.54, 105,453.80 and 47,751.84

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Solution

The fourth proportional to 76,415.54, 105,453.80 and 47,751.84 is: 65,897.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,415.54 : 105,453.80 = 47,751.84 : x
  2. Step 2: Convert to fraction form
    76,415.54/105,453.80 = 47,751.84/x
  3. Step 3: Cross multiply
    76,415.54x = 105,453.80 × 47,751.84
  4. Step 4: Simplify right side
    76,415.54x = 5,035,612,746.23
  5. Step 5: Solve for x
    x = 5,035,612,746.23/76,415.54
  6. Step 6: Final answer
    x = 65,897.76

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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.