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Finding the Fourth Proportional to 83,652.04, 115,328.10 and 71,664.04

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Solution

The fourth proportional to 83,652.04, 115,328.10 and 71,664.04 is: 98,800.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,652.04 : 115,328.10 = 71,664.04 : x
  2. Step 2: Convert to fraction form
    83,652.04/115,328.10 = 71,664.04/x
  3. Step 3: Cross multiply
    83,652.04x = 115,328.10 × 71,664.04
  4. Step 4: Simplify right side
    83,652.04x = 8,264,877,571.52
  5. Step 5: Solve for x
    x = 8,264,877,571.52/83,652.04
  6. Step 6: Final answer
    x = 98,800.67

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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.