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Finding the Fourth Proportional to 139,984.64, 210,029.28 and 83,864.32

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Solution

The fourth proportional to 139,984.64, 210,029.28 and 83,864.32 is: 125,827.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,984.64 : 210,029.28 = 83,864.32 : x
  2. Step 2: Convert to fraction form
    139,984.64/210,029.28 = 83,864.32/x
  3. Step 3: Cross multiply
    139,984.64x = 210,029.28 × 83,864.32
  4. Step 4: Simplify right side
    139,984.64x = 17,613,962,747.29
  5. Step 5: Solve for x
    x = 17,613,962,747.29/139,984.64
  6. Step 6: Final answer
    x = 125,827.82

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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.