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Finding the Fourth Proportional to 144,657.80, 216,986.70 and 51,151.40

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Solution

The fourth proportional to 144,657.80, 216,986.70 and 51,151.40 is: 76,727.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,657.80 : 216,986.70 = 51,151.40 : x
  2. Step 2: Convert to fraction form
    144,657.80/216,986.70 = 51,151.40/x
  3. Step 3: Cross multiply
    144,657.80x = 216,986.70 × 51,151.40
  4. Step 4: Simplify right side
    144,657.80x = 11,099,173,486.38
  5. Step 5: Solve for x
    x = 11,099,173,486.38/144,657.80
  6. Step 6: Final answer
    x = 76,727.10

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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.