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Finding the Fourth Proportional to 272,444.64, 375,967.77 and 157,728.12

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Solution

The fourth proportional to 272,444.64, 375,967.77 and 157,728.12 is: 217,661.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,444.64 : 375,967.77 = 157,728.12 : x
  2. Step 2: Convert to fraction form
    272,444.64/375,967.77 = 157,728.12/x
  3. Step 3: Cross multiply
    272,444.64x = 375,967.77 × 157,728.12
  4. Step 4: Simplify right side
    272,444.64x = 59,300,689,542.69
  5. Step 5: Solve for x
    x = 59,300,689,542.69/272,444.64
  6. Step 6: Final answer
    x = 217,661.43

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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.