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Finding the Fourth Proportional to 142,302.69, 213,432.51 and 53,535.51

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Solution

The fourth proportional to 142,302.69, 213,432.51 and 53,535.51 is: 80,295.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,302.69 : 213,432.51 = 53,535.51 : x
  2. Step 2: Convert to fraction form
    142,302.69/213,432.51 = 53,535.51/x
  3. Step 3: Cross multiply
    142,302.69x = 213,432.51 × 53,535.51
  4. Step 4: Simplify right side
    142,302.69x = 11,426,218,273.43
  5. Step 5: Solve for x
    x = 11,426,218,273.43/142,302.69
  6. Step 6: Final answer
    x = 80,295.17

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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.