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Finding the Fourth Proportional to 152,991.64, 211,123.02 and 85,007.80

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Solution

The fourth proportional to 152,991.64, 211,123.02 and 85,007.80 is: 117,307.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,991.64 : 211,123.02 = 85,007.80 : x
  2. Step 2: Convert to fraction form
    152,991.64/211,123.02 = 85,007.80/x
  3. Step 3: Cross multiply
    152,991.64x = 211,123.02 × 85,007.80
  4. Step 4: Simplify right side
    152,991.64x = 17,947,103,459.56
  5. Step 5: Solve for x
    x = 17,947,103,459.56/152,991.64
  6. Step 6: Final answer
    x = 117,307.74

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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.