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Finding the Fourth Proportional to 127,871.16, 191,831.34 and 57,750.47

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Solution

The fourth proportional to 127,871.16, 191,831.34 and 57,750.47 is: 86,636.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,871.16 : 191,831.34 = 57,750.47 : x
  2. Step 2: Convert to fraction form
    127,871.16/191,831.34 = 57,750.47/x
  3. Step 3: Cross multiply
    127,871.16x = 191,831.34 × 57,750.47
  4. Step 4: Simplify right side
    127,871.16x = 11,078,349,697.66
  5. Step 5: Solve for x
    x = 11,078,349,697.66/127,871.16
  6. Step 6: Final answer
    x = 86,636.81

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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.