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Finding the Fourth Proportional to 210,839.54, 316,301.64 and 77,720.48

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Solution

The fourth proportional to 210,839.54, 316,301.64 and 77,720.48 is: 116,596.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,839.54 : 316,301.64 = 77,720.48 : x
  2. Step 2: Convert to fraction form
    210,839.54/316,301.64 = 77,720.48/x
  3. Step 3: Cross multiply
    210,839.54x = 316,301.64 × 77,720.48
  4. Step 4: Simplify right side
    210,839.54x = 24,583,115,285.59
  5. Step 5: Solve for x
    x = 24,583,115,285.59/210,839.54
  6. Step 6: Final answer
    x = 116,596.32

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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.