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Finding the Fourth Proportional to 138,163.50, 190,665.63 and 78,547.50

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Solution

The fourth proportional to 138,163.50, 190,665.63 and 78,547.50 is: 108,395.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,163.50 : 190,665.63 = 78,547.50 : x
  2. Step 2: Convert to fraction form
    138,163.50/190,665.63 = 78,547.50/x
  3. Step 3: Cross multiply
    138,163.50x = 190,665.63 × 78,547.50
  4. Step 4: Simplify right side
    138,163.50x = 14,976,308,572.43
  5. Step 5: Solve for x
    x = 14,976,308,572.43/138,163.50
  6. Step 6: Final answer
    x = 108,395.55

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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.