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Finding the Fourth Proportional to 189,573.64, 284,158.38 and 142,681.48

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Solution

The fourth proportional to 189,573.64, 284,158.38 and 142,681.48 is: 213,870.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,573.64 : 284,158.38 = 142,681.48 : x
  2. Step 2: Convert to fraction form
    189,573.64/284,158.38 = 142,681.48/x
  3. Step 3: Cross multiply
    189,573.64x = 284,158.38 × 142,681.48
  4. Step 4: Simplify right side
    189,573.64x = 40,544,138,212.80
  5. Step 5: Solve for x
    x = 40,544,138,212.80/189,573.64
  6. Step 6: Final answer
    x = 213,870.13

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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.