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Finding the Fourth Proportional to 47,128, 65,038.16 and 25,908.80

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Solution

The fourth proportional to 47,128, 65,038.16 and 25,908.80 is: 35,754.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,128 : 65,038.16 = 25,908.80 : x
  2. Step 2: Convert to fraction form
    47,128/65,038.16 = 25,908.80/x
  3. Step 3: Cross multiply
    47,128x = 65,038.16 × 25,908.80
  4. Step 4: Simplify right side
    47,128x = 1,685,060,679.81
  5. Step 5: Solve for x
    x = 1,685,060,679.81/47,128
  6. Step 6: Final answer
    x = 35,754.98

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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.