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Finding the Fourth Proportional to 251,642, 377,521.32 and 85,430

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Solution

The fourth proportional to 251,642, 377,521.32 and 85,430 is: 128,164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,642 : 377,521.32 = 85,430 : x
  2. Step 2: Convert to fraction form
    251,642/377,521.32 = 85,430/x
  3. Step 3: Cross multiply
    251,642x = 377,521.32 × 85,430
  4. Step 4: Simplify right side
    251,642x = 32,251,646,367.60
  5. Step 5: Solve for x
    x = 32,251,646,367.60/251,642
  6. Step 6: Final answer
    x = 128,164.80

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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.