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Finding the Fourth Proportional to 142,423.30, 213,501.30 and 53,736.40

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Solution

The fourth proportional to 142,423.30, 213,501.30 and 53,736.40 is: 80,554.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,423.30 : 213,501.30 = 53,736.40 : x
  2. Step 2: Convert to fraction form
    142,423.30/213,501.30 = 53,736.40/x
  3. Step 3: Cross multiply
    142,423.30x = 213,501.30 × 53,736.40
  4. Step 4: Simplify right side
    142,423.30x = 11,472,791,257.32
  5. Step 5: Solve for x
    x = 11,472,791,257.32/142,423.30
  6. Step 6: Final answer
    x = 80,554.17

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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.