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Finding the Fourth Proportional to 152,364.80, 210,261.12 and 85,299.20

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Solution

The fourth proportional to 152,364.80, 210,261.12 and 85,299.20 is: 117,711.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,364.80 : 210,261.12 = 85,299.20 : x
  2. Step 2: Convert to fraction form
    152,364.80/210,261.12 = 85,299.20/x
  3. Step 3: Cross multiply
    152,364.80x = 210,261.12 × 85,299.20
  4. Step 4: Simplify right side
    152,364.80x = 17,935,105,327.10
  5. Step 5: Solve for x
    x = 17,935,105,327.10/152,364.80
  6. Step 6: Final answer
    x = 117,711.61

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1.5x scale

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.