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Finding the Fourth Proportional to 113,729.25, 156,895.65 and 65,954.91

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Solution

The fourth proportional to 113,729.25, 156,895.65 and 65,954.91 is: 90,988.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,729.25 : 156,895.65 = 65,954.91 : x
  2. Step 2: Convert to fraction form
    113,729.25/156,895.65 = 65,954.91/x
  3. Step 3: Cross multiply
    113,729.25x = 156,895.65 × 65,954.91
  4. Step 4: Simplify right side
    113,729.25x = 10,348,038,475.14
  5. Step 5: Solve for x
    x = 10,348,038,475.14/113,729.25
  6. Step 6: Final answer
    x = 90,988.36

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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.