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Finding the Fourth Proportional to 156,738, 216,364.64 and 105,819.68

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Solution

The fourth proportional to 156,738, 216,364.64 and 105,819.68 is: 146,075.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,738 : 216,364.64 = 105,819.68 : x
  2. Step 2: Convert to fraction form
    156,738/216,364.64 = 105,819.68/x
  3. Step 3: Cross multiply
    156,738x = 216,364.64 × 105,819.68
  4. Step 4: Simplify right side
    156,738x = 22,895,636,968.12
  5. Step 5: Solve for x
    x = 22,895,636,968.12/156,738
  6. Step 6: Final answer
    x = 146,075.85

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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.