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Finding the Fourth Proportional to 85,170.95, 127,717.50 and 31,823.81

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Solution

The fourth proportional to 85,170.95, 127,717.50 and 31,823.81 is: 47,721.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,170.95 : 127,717.50 = 31,823.81 : x
  2. Step 2: Convert to fraction form
    85,170.95/127,717.50 = 31,823.81/x
  3. Step 3: Cross multiply
    85,170.95x = 127,717.50 × 31,823.81
  4. Step 4: Simplify right side
    85,170.95x = 4,064,457,653.63
  5. Step 5: Solve for x
    x = 4,064,457,653.63/85,170.95
  6. Step 6: Final answer
    x = 47,721.17

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1.5x scale

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.