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Finding the Fourth Proportional to 257,217.61, 354,956.47 and 142,496.01

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Solution

The fourth proportional to 257,217.61, 354,956.47 and 142,496.01 is: 196,642.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,217.61 : 354,956.47 = 142,496.01 : x
  2. Step 2: Convert to fraction form
    257,217.61/354,956.47 = 142,496.01/x
  3. Step 3: Cross multiply
    257,217.61x = 354,956.47 × 142,496.01
  4. Step 4: Simplify right side
    257,217.61x = 50,579,881,229.84
  5. Step 5: Solve for x
    x = 50,579,881,229.84/257,217.61
  6. Step 6: Final answer
    x = 196,642.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.