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Finding the Fourth Proportional to 142,652.17, 213,980.69 and 53,947.45

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Solution

The fourth proportional to 142,652.17, 213,980.69 and 53,947.45 is: 80,922.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,652.17 : 213,980.69 = 53,947.45 : x
  2. Step 2: Convert to fraction form
    142,652.17/213,980.69 = 53,947.45/x
  3. Step 3: Cross multiply
    142,652.17x = 213,980.69 × 53,947.45
  4. Step 4: Simplify right side
    142,652.17x = 11,543,712,574.74
  5. Step 5: Solve for x
    x = 11,543,712,574.74/142,652.17
  6. Step 6: Final answer
    x = 80,922.10

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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.