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Finding the Fourth Proportional to 85,133.76, 127,618.08 and 47,712

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Solution

The fourth proportional to 85,133.76, 127,618.08 and 47,712 is: 71,521.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,133.76 : 127,618.08 = 47,712 : x
  2. Step 2: Convert to fraction form
    85,133.76/127,618.08 = 47,712/x
  3. Step 3: Cross multiply
    85,133.76x = 127,618.08 × 47,712
  4. Step 4: Simplify right side
    85,133.76x = 6,088,913,832.96
  5. Step 5: Solve for x
    x = 6,088,913,832.96/85,133.76
  6. Step 6: Final answer
    x = 71,521.73

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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.