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Finding the Fourth Proportional to 142,503.30, 213,621.30 and 53,816.40

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Solution

The fourth proportional to 142,503.30, 213,621.30 and 53,816.40 is: 80,674.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,503.30 : 213,621.30 = 53,816.40 : x
  2. Step 2: Convert to fraction form
    142,503.30/213,621.30 = 53,816.40/x
  3. Step 3: Cross multiply
    142,503.30x = 213,621.30 × 53,816.40
  4. Step 4: Simplify right side
    142,503.30x = 11,496,329,329.32
  5. Step 5: Solve for x
    x = 11,496,329,329.32/142,503.30
  6. Step 6: Final answer
    x = 80,674.13

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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.