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Finding the Fourth Proportional to 142,392, 213,580.64 and 42,553.02

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Solution

The fourth proportional to 142,392, 213,580.64 and 42,553.02 is: 63,827.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,392 : 213,580.64 = 42,553.02 : x
  2. Step 2: Convert to fraction form
    142,392/213,580.64 = 42,553.02/x
  3. Step 3: Cross multiply
    142,392x = 213,580.64 × 42,553.02
  4. Step 4: Simplify right side
    142,392x = 9,088,501,245.53
  5. Step 5: Solve for x
    x = 9,088,501,245.53/142,392
  6. Step 6: Final answer
    x = 63,827.33

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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.