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Finding the Fourth Proportional to 255,716.16, 352,893 and 142,526.76

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Solution

The fourth proportional to 255,716.16, 352,893 and 142,526.76 is: 196,689.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,716.16 : 352,893 = 142,526.76 : x
  2. Step 2: Convert to fraction form
    255,716.16/352,893 = 142,526.76/x
  3. Step 3: Cross multiply
    255,716.16x = 352,893 × 142,526.76
  4. Step 4: Simplify right side
    255,716.16x = 50,296,695,916.68
  5. Step 5: Solve for x
    x = 50,296,695,916.68/255,716.16
  6. Step 6: Final answer
    x = 196,689.55

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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.