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Finding the Fourth Proportional to 152,753.64, 210,809.70 and 85,689.96

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Solution

The fourth proportional to 152,753.64, 210,809.70 and 85,689.96 is: 118,257.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,753.64 : 210,809.70 = 85,689.96 : x
  2. Step 2: Convert to fraction form
    152,753.64/210,809.70 = 85,689.96/x
  3. Step 3: Cross multiply
    152,753.64x = 210,809.70 × 85,689.96
  4. Step 4: Simplify right side
    152,753.64x = 18,064,274,760.61
  5. Step 5: Solve for x
    x = 18,064,274,760.61/152,753.64
  6. Step 6: Final answer
    x = 118,257.57

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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.