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Finding the Fourth Proportional to 142,652.64, 213,999.81 and 42,820.71

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Solution

The fourth proportional to 142,652.64, 213,999.81 and 42,820.71 is: 64,237.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,652.64 : 213,999.81 = 42,820.71 : x
  2. Step 2: Convert to fraction form
    142,652.64/213,999.81 = 42,820.71/x
  3. Step 3: Cross multiply
    142,652.64x = 213,999.81 × 42,820.71
  4. Step 4: Simplify right side
    142,652.64x = 9,163,623,804.07
  5. Step 5: Solve for x
    x = 9,163,623,804.07/142,652.64
  6. Step 6: Final answer
    x = 64,237.32

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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.