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Finding the Fourth Proportional to 97,732.80, 134,713.80 and 81,986.40

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Solution

The fourth proportional to 97,732.80, 134,713.80 and 81,986.40 is: 113,009.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,732.80 : 134,713.80 = 81,986.40 : x
  2. Step 2: Convert to fraction form
    97,732.80/134,713.80 = 81,986.40/x
  3. Step 3: Cross multiply
    97,732.80x = 134,713.80 × 81,986.40
  4. Step 4: Simplify right side
    97,732.80x = 11,044,699,492.32
  5. Step 5: Solve for x
    x = 11,044,699,492.32/97,732.80
  6. Step 6: Final answer
    x = 113,009.14

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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.