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Finding the Fourth Proportional to 51,701.76, 77,573.76 and 18,428.16

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Solution

The fourth proportional to 51,701.76, 77,573.76 and 18,428.16 is: 27,649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,701.76 : 77,573.76 = 18,428.16 : x
  2. Step 2: Convert to fraction form
    51,701.76/77,573.76 = 18,428.16/x
  3. Step 3: Cross multiply
    51,701.76x = 77,573.76 × 18,428.16
  4. Step 4: Simplify right side
    51,701.76x = 1,429,541,661.08
  5. Step 5: Solve for x
    x = 1,429,541,661.08/51,701.76
  6. Step 6: Final answer
    x = 27,649.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.