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Finding the Fourth Proportional to 255,969.96, 353,248.16 and 142,814.56

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Solution

The fourth proportional to 255,969.96, 353,248.16 and 142,814.56 is: 197,089.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,969.96 : 353,248.16 = 142,814.56 : x
  2. Step 2: Convert to fraction form
    255,969.96/353,248.16 = 142,814.56/x
  3. Step 3: Cross multiply
    255,969.96x = 353,248.16 × 142,814.56
  4. Step 4: Simplify right side
    255,969.96x = 50,448,980,541.21
  5. Step 5: Solve for x
    x = 50,448,980,541.21/255,969.96
  6. Step 6: Final answer
    x = 197,089.46

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1.5x scale

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.