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Finding the Fourth Proportional to 253,038.51, 379,964.38 and 167,781.05

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Solution

The fourth proportional to 253,038.51, 379,964.38 and 167,781.05 is: 251,941.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,038.51 : 379,964.38 = 167,781.05 : x
  2. Step 2: Convert to fraction form
    253,038.51/379,964.38 = 167,781.05/x
  3. Step 3: Cross multiply
    253,038.51x = 379,964.38 × 167,781.05
  4. Step 4: Simplify right side
    253,038.51x = 63,750,822,639.00
  5. Step 5: Solve for x
    x = 63,750,822,639.00/253,038.51
  6. Step 6: Final answer
    x = 251,941.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.