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Finding the Fourth Proportional to 117,714.68, 162,364.01 and 77,415.56

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Solution

The fourth proportional to 117,714.68, 162,364.01 and 77,415.56 is: 106,779.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,714.68 : 162,364.01 = 77,415.56 : x
  2. Step 2: Convert to fraction form
    117,714.68/162,364.01 = 77,415.56/x
  3. Step 3: Cross multiply
    117,714.68x = 162,364.01 × 77,415.56
  4. Step 4: Simplify right side
    117,714.68x = 12,569,500,758.00
  5. Step 5: Solve for x
    x = 12,569,500,758.00/117,714.68
  6. Step 6: Final answer
    x = 106,779.38

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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.