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Finding the Fourth Proportional to 153,872.46, 212,320.04 and 85,885.92

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Solution

The fourth proportional to 153,872.46, 212,320.04 and 85,885.92 is: 118,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,872.46 : 212,320.04 = 85,885.92 : x
  2. Step 2: Convert to fraction form
    153,872.46/212,320.04 = 85,885.92/x
  3. Step 3: Cross multiply
    153,872.46x = 212,320.04 × 85,885.92
  4. Step 4: Simplify right side
    153,872.46x = 18,235,301,540.41
  5. Step 5: Solve for x
    x = 18,235,301,540.41/153,872.46
  6. Step 6: Final answer
    x = 118,509.20

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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.