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Finding the Fourth Proportional to 51,901.80, 77,852.70 and 45,340.80

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Solution

The fourth proportional to 51,901.80, 77,852.70 and 45,340.80 is: 68,011.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,901.80 : 77,852.70 = 45,340.80 : x
  2. Step 2: Convert to fraction form
    51,901.80/77,852.70 = 45,340.80/x
  3. Step 3: Cross multiply
    51,901.80x = 77,852.70 × 45,340.80
  4. Step 4: Simplify right side
    51,901.80x = 3,529,903,700.16
  5. Step 5: Solve for x
    x = 3,529,903,700.16/51,901.80
  6. Step 6: Final answer
    x = 68,011.20

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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.