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Finding the Fourth Proportional to 231,854.63, 319,962.71 and 135,056

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Solution

The fourth proportional to 231,854.63, 319,962.71 and 135,056 is: 186,379.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,854.63 : 319,962.71 = 135,056 : x
  2. Step 2: Convert to fraction form
    231,854.63/319,962.71 = 135,056/x
  3. Step 3: Cross multiply
    231,854.63x = 319,962.71 × 135,056
  4. Step 4: Simplify right side
    231,854.63x = 43,212,883,761.76
  5. Step 5: Solve for x
    x = 43,212,883,761.76/231,854.63
  6. Step 6: Final answer
    x = 186,379.21

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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.