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Finding the Fourth Proportional to 127,210, 190,815 and 39,658

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Solution

The fourth proportional to 127,210, 190,815 and 39,658 is: 59,487

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,210 : 190,815 = 39,658 : x
  2. Step 2: Convert to fraction form
    127,210/190,815 = 39,658/x
  3. Step 3: Cross multiply
    127,210x = 190,815 × 39,658
  4. Step 4: Simplify right side
    127,210x = 7,567,341,270
  5. Step 5: Solve for x
    x = 7,567,341,270/127,210
  6. Step 6: Final answer
    x = 59,487

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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.