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Finding the Fourth Proportional to 251,881.80, 347,508.96 and 142,973.16

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Solution

The fourth proportional to 251,881.80, 347,508.96 and 142,973.16 is: 197,253.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,881.80 : 347,508.96 = 142,973.16 : x
  2. Step 2: Convert to fraction form
    251,881.80/347,508.96 = 142,973.16/x
  3. Step 3: Cross multiply
    251,881.80x = 347,508.96 × 142,973.16
  4. Step 4: Simplify right side
    251,881.80x = 49,684,454,139.51
  5. Step 5: Solve for x
    x = 49,684,454,139.51/251,881.80
  6. Step 6: Final answer
    x = 197,253.05

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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.