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Finding the Fourth Proportional to 210,768.36, 316,152.54 and 86,109.36

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Solution

The fourth proportional to 210,768.36, 316,152.54 and 86,109.36 is: 129,164.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,768.36 : 316,152.54 = 86,109.36 : x
  2. Step 2: Convert to fraction form
    210,768.36/316,152.54 = 86,109.36/x
  3. Step 3: Cross multiply
    210,768.36x = 316,152.54 × 86,109.36
  4. Step 4: Simplify right side
    210,768.36x = 27,223,692,881.77
  5. Step 5: Solve for x
    x = 27,223,692,881.77/210,768.36
  6. Step 6: Final answer
    x = 129,164.04

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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.