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Finding the Fourth Proportional to 127,239.64, 190,830.29 and 57,139

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Solution

The fourth proportional to 127,239.64, 190,830.29 and 57,139 is: 85,695.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,239.64 : 190,830.29 = 57,139 : x
  2. Step 2: Convert to fraction form
    127,239.64/190,830.29 = 57,139/x
  3. Step 3: Cross multiply
    127,239.64x = 190,830.29 × 57,139
  4. Step 4: Simplify right side
    127,239.64x = 10,903,851,940.31
  5. Step 5: Solve for x
    x = 10,903,851,940.31/127,239.64
  6. Step 6: Final answer
    x = 85,695.40

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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.