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Finding the Fourth Proportional to 157,429.84, 217,253.31 and 85,808.42

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Solution

The fourth proportional to 157,429.84, 217,253.31 and 85,808.42 is: 118,415.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,429.84 : 217,253.31 = 85,808.42 : x
  2. Step 2: Convert to fraction form
    157,429.84/217,253.31 = 85,808.42/x
  3. Step 3: Cross multiply
    157,429.84x = 217,253.31 × 85,808.42
  4. Step 4: Simplify right side
    157,429.84x = 18,642,163,270.87
  5. Step 5: Solve for x
    x = 18,642,163,270.87/157,429.84
  6. Step 6: Final answer
    x = 118,415.69

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1.5x scale

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.