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Finding the Fourth Proportional to 156,739, 216,366.02 and 105,820.68

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Solution

The fourth proportional to 156,739, 216,366.02 and 105,820.68 is: 146,077.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,739 : 216,366.02 = 105,820.68 : x
  2. Step 2: Convert to fraction form
    156,739/216,366.02 = 105,820.68/x
  3. Step 3: Cross multiply
    156,739x = 216,366.02 × 105,820.68
  4. Step 4: Simplify right side
    156,739x = 22,895,999,365.29
  5. Step 5: Solve for x
    x = 22,895,999,365.29/156,739
  6. Step 6: Final answer
    x = 146,077.23

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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.