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Finding the Fourth Proportional to 230,722.98, 318,385.50 and 130,114.50

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Solution

The fourth proportional to 230,722.98, 318,385.50 and 130,114.50 is: 179,551.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,722.98 : 318,385.50 = 130,114.50 : x
  2. Step 2: Convert to fraction form
    230,722.98/318,385.50 = 130,114.50/x
  3. Step 3: Cross multiply
    230,722.98x = 318,385.50 × 130,114.50
  4. Step 4: Simplify right side
    230,722.98x = 41,426,570,139.75
  5. Step 5: Solve for x
    x = 41,426,570,139.75/230,722.98
  6. Step 6: Final answer
    x = 179,551.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.