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Finding the Fourth Proportional to 127,916.48, 191,939.52 and 86,276

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Solution

The fourth proportional to 127,916.48, 191,939.52 and 86,276 is: 129,457.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,916.48 : 191,939.52 = 86,276 : x
  2. Step 2: Convert to fraction form
    127,916.48/191,939.52 = 86,276/x
  3. Step 3: Cross multiply
    127,916.48x = 191,939.52 × 86,276
  4. Step 4: Simplify right side
    127,916.48x = 16,559,774,027.52
  5. Step 5: Solve for x
    x = 16,559,774,027.52/127,916.48
  6. Step 6: Final answer
    x = 129,457.71

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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.