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Finding the Fourth Proportional to 253,763.32, 380,688.90 and 85,300.12

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Solution

The fourth proportional to 253,763.32, 380,688.90 and 85,300.12 is: 127,964.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,763.32 : 380,688.90 = 85,300.12 : x
  2. Step 2: Convert to fraction form
    253,763.32/380,688.90 = 85,300.12/x
  3. Step 3: Cross multiply
    253,763.32x = 380,688.90 × 85,300.12
  4. Step 4: Simplify right side
    253,763.32x = 32,472,808,852.67
  5. Step 5: Solve for x
    x = 32,472,808,852.67/253,763.32
  6. Step 6: Final answer
    x = 127,964.94

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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.