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Finding the Fourth Proportional to 157,509.98, 217,267.13 and 100,822.94

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Solution

The fourth proportional to 157,509.98, 217,267.13 and 100,822.94 is: 139,073.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,509.98 : 217,267.13 = 100,822.94 : x
  2. Step 2: Convert to fraction form
    157,509.98/217,267.13 = 100,822.94/x
  3. Step 3: Cross multiply
    157,509.98x = 217,267.13 × 100,822.94
  4. Step 4: Simplify right side
    157,509.98x = 21,905,510,811.96
  5. Step 5: Solve for x
    x = 21,905,510,811.96/157,509.98
  6. Step 6: Final answer
    x = 139,073.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.