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Finding the Fourth Proportional to 156,858, 235,154.70 and 68,044.68

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Solution

The fourth proportional to 156,858, 235,154.70 and 68,044.68 is: 102,009.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,858 : 235,154.70 = 68,044.68 : x
  2. Step 2: Convert to fraction form
    156,858/235,154.70 = 68,044.68/x
  3. Step 3: Cross multiply
    156,858x = 235,154.70 × 68,044.68
  4. Step 4: Simplify right side
    156,858x = 16,001,026,312.00
  5. Step 5: Solve for x
    x = 16,001,026,312.00/156,858
  6. Step 6: Final answer
    x = 102,009.63

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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.