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Finding the Fourth Proportional to 145,212.09, 217,810.30 and 45,360.82

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Solution

The fourth proportional to 145,212.09, 217,810.30 and 45,360.82 is: 68,038.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,212.09 : 217,810.30 = 45,360.82 : x
  2. Step 2: Convert to fraction form
    145,212.09/217,810.30 = 45,360.82/x
  3. Step 3: Cross multiply
    145,212.09x = 217,810.30 × 45,360.82
  4. Step 4: Simplify right side
    145,212.09x = 9,880,053,812.45
  5. Step 5: Solve for x
    x = 9,880,053,812.45/145,212.09
  6. Step 6: Final answer
    x = 68,038.78

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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.