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Finding the Fourth Proportional to 210,783.12, 316,174.68 and 86,124

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Solution

The fourth proportional to 210,783.12, 316,174.68 and 86,124 is: 129,186

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,783.12 : 316,174.68 = 86,124 : x
  2. Step 2: Convert to fraction form
    210,783.12/316,174.68 = 86,124/x
  3. Step 3: Cross multiply
    210,783.12x = 316,174.68 × 86,124
  4. Step 4: Simplify right side
    210,783.12x = 27,230,228,140.32
  5. Step 5: Solve for x
    x = 27,230,228,140.32/210,783.12
  6. Step 6: Final answer
    x = 129,186

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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.