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Finding the Fourth Proportional to 127,656, 191,484 and 34,159.68

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Solution

The fourth proportional to 127,656, 191,484 and 34,159.68 is: 51,239.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,656 : 191,484 = 34,159.68 : x
  2. Step 2: Convert to fraction form
    127,656/191,484 = 34,159.68/x
  3. Step 3: Cross multiply
    127,656x = 191,484 × 34,159.68
  4. Step 4: Simplify right side
    127,656x = 6,541,032,165.12
  5. Step 5: Solve for x
    x = 6,541,032,165.12/127,656
  6. Step 6: Final answer
    x = 51,239.52

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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.