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Finding the Fourth Proportional to 152,304.64, 228,533.76 and 85,818.88

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Solution

The fourth proportional to 152,304.64, 228,533.76 and 85,818.88 is: 128,771.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,304.64 : 228,533.76 = 85,818.88 : x
  2. Step 2: Convert to fraction form
    152,304.64/228,533.76 = 85,818.88/x
  3. Step 3: Cross multiply
    152,304.64x = 228,533.76 × 85,818.88
  4. Step 4: Simplify right side
    152,304.64x = 19,612,511,325.39
  5. Step 5: Solve for x
    x = 19,612,511,325.39/152,304.64
  6. Step 6: Final answer
    x = 128,771.59

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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.