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Finding the Fourth Proportional to 86,154.08, 129,216.54 and 23,810

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Solution

The fourth proportional to 86,154.08, 129,216.54 and 23,810 is: 35,710.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,154.08 : 129,216.54 = 23,810 : x
  2. Step 2: Convert to fraction form
    86,154.08/129,216.54 = 23,810/x
  3. Step 3: Cross multiply
    86,154.08x = 129,216.54 × 23,810
  4. Step 4: Simplify right side
    86,154.08x = 3,076,645,817.40
  5. Step 5: Solve for x
    x = 3,076,645,817.40/86,154.08
  6. Step 6: Final answer
    x = 35,710.97

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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.