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Finding the Fourth Proportional to 152,212.16, 210,063.84 and 85,165.76

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Solution

The fourth proportional to 152,212.16, 210,063.84 and 85,165.76 is: 117,534.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,212.16 : 210,063.84 = 85,165.76 : x
  2. Step 2: Convert to fraction form
    152,212.16/210,063.84 = 85,165.76/x
  3. Step 3: Cross multiply
    152,212.16x = 210,063.84 × 85,165.76
  4. Step 4: Simplify right side
    152,212.16x = 17,890,246,582.12
  5. Step 5: Solve for x
    x = 17,890,246,582.12/152,212.16
  6. Step 6: Final answer
    x = 117,534.94

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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.