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Finding the Fourth Proportional to 145,530.88, 218,328.24 and 130,834.24

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Solution

The fourth proportional to 145,530.88, 218,328.24 and 130,834.24 is: 196,280.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,530.88 : 218,328.24 = 130,834.24 : x
  2. Step 2: Convert to fraction form
    145,530.88/218,328.24 = 130,834.24/x
  3. Step 3: Cross multiply
    145,530.88x = 218,328.24 × 130,834.24
  4. Step 4: Simplify right side
    145,530.88x = 28,564,809,350.94
  5. Step 5: Solve for x
    x = 28,564,809,350.94/145,530.88
  6. Step 6: Final answer
    x = 196,280.06

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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.