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Finding the Fourth Proportional to 138,918.86, 191,707.75 and 75,256.81

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Solution

The fourth proportional to 138,918.86, 191,707.75 and 75,256.81 is: 103,854.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,918.86 : 191,707.75 = 75,256.81 : x
  2. Step 2: Convert to fraction form
    138,918.86/191,707.75 = 75,256.81/x
  3. Step 3: Cross multiply
    138,918.86x = 191,707.75 × 75,256.81
  4. Step 4: Simplify right side
    138,918.86x = 14,427,312,908.76
  5. Step 5: Solve for x
    x = 14,427,312,908.76/138,918.86
  6. Step 6: Final answer
    x = 103,854.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.