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Finding the Fourth Proportional to 156,751.82, 216,351.93 and 103,041.78

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Solution

The fourth proportional to 156,751.82, 216,351.93 and 103,041.78 is: 142,220.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,751.82 : 216,351.93 = 103,041.78 : x
  2. Step 2: Convert to fraction form
    156,751.82/216,351.93 = 103,041.78/x
  3. Step 3: Cross multiply
    156,751.82x = 216,351.93 × 103,041.78
  4. Step 4: Simplify right side
    156,751.82x = 22,293,287,973.64
  5. Step 5: Solve for x
    x = 22,293,287,973.64/156,751.82
  6. Step 6: Final answer
    x = 142,220.28

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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.