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Finding the Fourth Proportional to 156,213, 234,322.40 and 56,380.68

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Solution

The fourth proportional to 156,213, 234,322.40 and 56,380.68 is: 84,572.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,213 : 234,322.40 = 56,380.68 : x
  2. Step 2: Convert to fraction form
    156,213/234,322.40 = 56,380.68/x
  3. Step 3: Cross multiply
    156,213x = 234,322.40 × 56,380.68
  4. Step 4: Simplify right side
    156,213x = 13,211,256,251.23
  5. Step 5: Solve for x
    x = 13,211,256,251.23/156,213
  6. Step 6: Final answer
    x = 84,572.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.