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Finding the Fourth Proportional to 208,772.64, 313,013.16 and 66,570.66

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Solution

The fourth proportional to 208,772.64, 313,013.16 and 66,570.66 is: 99,809.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,772.64 : 313,013.16 = 66,570.66 : x
  2. Step 2: Convert to fraction form
    208,772.64/313,013.16 = 66,570.66/x
  3. Step 3: Cross multiply
    208,772.64x = 313,013.16 × 66,570.66
  4. Step 4: Simplify right side
    208,772.64x = 20,837,492,649.89
  5. Step 5: Solve for x
    x = 20,837,492,649.89/208,772.64
  6. Step 6: Final answer
    x = 99,809.50

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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.