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Finding the Fourth Proportional to 138,301.92, 190,846.80 and 77,875.92

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Solution

The fourth proportional to 138,301.92, 190,846.80 and 77,875.92 is: 107,463.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,301.92 : 190,846.80 = 77,875.92 : x
  2. Step 2: Convert to fraction form
    138,301.92/190,846.80 = 77,875.92/x
  3. Step 3: Cross multiply
    138,301.92x = 190,846.80 × 77,875.92
  4. Step 4: Simplify right side
    138,301.92x = 14,862,370,129.06
  5. Step 5: Solve for x
    x = 14,862,370,129.06/138,301.92
  6. Step 6: Final answer
    x = 107,463.22

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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.