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Finding the Fourth Proportional to 106,654, 147,182.52 and 64,214.32

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Solution

The fourth proportional to 106,654, 147,182.52 and 64,214.32 is: 88,615.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,654 : 147,182.52 = 64,214.32 : x
  2. Step 2: Convert to fraction form
    106,654/147,182.52 = 64,214.32/x
  3. Step 3: Cross multiply
    106,654x = 147,182.52 × 64,214.32
  4. Step 4: Simplify right side
    106,654x = 9,451,225,437.69
  5. Step 5: Solve for x
    x = 9,451,225,437.69/106,654
  6. Step 6: Final answer
    x = 88,615.76

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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.