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Finding the Fourth Proportional to 210,765.36, 316,148.04 and 86,106.36

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Solution

The fourth proportional to 210,765.36, 316,148.04 and 86,106.36 is: 129,159.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,765.36 : 316,148.04 = 86,106.36 : x
  2. Step 2: Convert to fraction form
    210,765.36/316,148.04 = 86,106.36/x
  3. Step 3: Cross multiply
    210,765.36x = 316,148.04 × 86,106.36
  4. Step 4: Simplify right side
    210,765.36x = 27,222,356,945.53
  5. Step 5: Solve for x
    x = 27,222,356,945.53/210,765.36
  6. Step 6: Final answer
    x = 129,159.54

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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.