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Finding the Fourth Proportional to 157,896.71, 218,042.94 and 101,406.50

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Solution

The fourth proportional to 157,896.71, 218,042.94 and 101,406.50 is: 140,034.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,896.71 : 218,042.94 = 101,406.50 : x
  2. Step 2: Convert to fraction form
    157,896.71/218,042.94 = 101,406.50/x
  3. Step 3: Cross multiply
    157,896.71x = 218,042.94 × 101,406.50
  4. Step 4: Simplify right side
    157,896.71x = 22,110,971,395.11
  5. Step 5: Solve for x
    x = 22,110,971,395.11/157,896.71
  6. Step 6: Final answer
    x = 140,034.40

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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.