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Finding the Fourth Proportional to 117,708, 162,437.04 and 64,716

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Solution

The fourth proportional to 117,708, 162,437.04 and 64,716 is: 89,308.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,708 : 162,437.04 = 64,716 : x
  2. Step 2: Convert to fraction form
    117,708/162,437.04 = 64,716/x
  3. Step 3: Cross multiply
    117,708x = 162,437.04 × 64,716
  4. Step 4: Simplify right side
    117,708x = 10,512,275,480.64
  5. Step 5: Solve for x
    x = 10,512,275,480.64/117,708
  6. Step 6: Final answer
    x = 89,308.08

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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.