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Finding the Fourth Proportional to 117,746.42, 176,493.80 and 85,648.55

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Solution

The fourth proportional to 117,746.42, 176,493.80 and 85,648.55 is: 128,381.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,746.42 : 176,493.80 = 85,648.55 : x
  2. Step 2: Convert to fraction form
    117,746.42/176,493.80 = 85,648.55/x
  3. Step 3: Cross multiply
    117,746.42x = 176,493.80 × 85,648.55
  4. Step 4: Simplify right side
    117,746.42x = 15,116,437,385.64
  5. Step 5: Solve for x
    x = 15,116,437,385.64/117,746.42
  6. Step 6: Final answer
    x = 128,381.30

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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.