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Finding the Fourth Proportional to 83,642.34, 115,411.53 and 47,343.60

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Solution

The fourth proportional to 83,642.34, 115,411.53 and 47,343.60 is: 65,325.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,642.34 : 115,411.53 = 47,343.60 : x
  2. Step 2: Convert to fraction form
    83,642.34/115,411.53 = 47,343.60/x
  3. Step 3: Cross multiply
    83,642.34x = 115,411.53 × 47,343.60
  4. Step 4: Simplify right side
    83,642.34x = 5,463,997,074.99
  5. Step 5: Solve for x
    x = 5,463,997,074.99/83,642.34
  6. Step 6: Final answer
    x = 65,325.74

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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.