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Finding the Fourth Proportional to 152,767.50, 210,820.59 and 85,700.94

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Solution

The fourth proportional to 152,767.50, 210,820.59 and 85,700.94 is: 118,268.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,767.50 : 210,820.59 = 85,700.94 : x
  2. Step 2: Convert to fraction form
    152,767.50/210,820.59 = 85,700.94/x
  3. Step 3: Cross multiply
    152,767.50x = 210,820.59 × 85,700.94
  4. Step 4: Simplify right side
    152,767.50x = 18,067,522,734.35
  5. Step 5: Solve for x
    x = 18,067,522,734.35/152,767.50
  6. Step 6: Final answer
    x = 118,268.11

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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.