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Finding the Fourth Proportional to 171,138.60, 256,703.10 and 77,644.20

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Solution

The fourth proportional to 171,138.60, 256,703.10 and 77,644.20 is: 116,464.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,138.60 : 256,703.10 = 77,644.20 : x
  2. Step 2: Convert to fraction form
    171,138.60/256,703.10 = 77,644.20/x
  3. Step 3: Cross multiply
    171,138.60x = 256,703.10 × 77,644.20
  4. Step 4: Simplify right side
    171,138.60x = 19,931,506,837.02
  5. Step 5: Solve for x
    x = 19,931,506,837.02/171,138.60
  6. Step 6: Final answer
    x = 116,464.12

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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.