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Finding the Fourth Proportional to 156,398.45, 216,009.20 and 102,922.19

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Solution

The fourth proportional to 156,398.45, 216,009.20 and 102,922.19 is: 142,150.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,398.45 : 216,009.20 = 102,922.19 : x
  2. Step 2: Convert to fraction form
    156,398.45/216,009.20 = 102,922.19/x
  3. Step 3: Cross multiply
    156,398.45x = 216,009.20 × 102,922.19
  4. Step 4: Simplify right side
    156,398.45x = 22,232,139,101.41
  5. Step 5: Solve for x
    x = 22,232,139,101.41/156,398.45
  6. Step 6: Final answer
    x = 142,150.63

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1.5x scale

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.