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Finding the Fourth Proportional to 257,199.61, 354,931.60 and 142,477.90

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Solution

The fourth proportional to 257,199.61, 354,931.60 and 142,477.90 is: 196,617.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,199.61 : 354,931.60 = 142,477.90 : x
  2. Step 2: Convert to fraction form
    257,199.61/354,931.60 = 142,477.90/x
  3. Step 3: Cross multiply
    257,199.61x = 354,931.60 × 142,477.90
  4. Step 4: Simplify right side
    257,199.61x = 50,569,909,011.64
  5. Step 5: Solve for x
    x = 50,569,909,011.64/257,199.61
  6. Step 6: Final answer
    x = 196,617.36

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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.