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Finding the Fourth Proportional to 106,877.80, 160,316.70 and 51,479.40

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Solution

The fourth proportional to 106,877.80, 160,316.70 and 51,479.40 is: 77,219.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,877.80 : 160,316.70 = 51,479.40 : x
  2. Step 2: Convert to fraction form
    106,877.80/160,316.70 = 51,479.40/x
  3. Step 3: Cross multiply
    106,877.80x = 160,316.70 × 51,479.40
  4. Step 4: Simplify right side
    106,877.80x = 8,253,007,525.98
  5. Step 5: Solve for x
    x = 8,253,007,525.98/106,877.80
  6. Step 6: Final answer
    x = 77,219.10

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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.