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Finding the Fourth Proportional to 84,970.81, 127,381.70 and 32,345.29

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Solution

The fourth proportional to 84,970.81, 127,381.70 and 32,345.29 is: 48,489.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,970.81 : 127,381.70 = 32,345.29 : x
  2. Step 2: Convert to fraction form
    84,970.81/127,381.70 = 32,345.29/x
  3. Step 3: Cross multiply
    84,970.81x = 127,381.70 × 32,345.29
  4. Step 4: Simplify right side
    84,970.81x = 4,120,197,865.47
  5. Step 5: Solve for x
    x = 4,120,197,865.47/84,970.81
  6. Step 6: Final answer
    x = 48,489.57

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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.