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Finding the Fourth Proportional to 113,428.19, 169,955.07 and 65,909.90

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Solution

The fourth proportional to 113,428.19, 169,955.07 and 65,909.90 is: 98,756.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,428.19 : 169,955.07 = 65,909.90 : x
  2. Step 2: Convert to fraction form
    113,428.19/169,955.07 = 65,909.90/x
  3. Step 3: Cross multiply
    113,428.19x = 169,955.07 × 65,909.90
  4. Step 4: Simplify right side
    113,428.19x = 11,201,720,818.42
  5. Step 5: Solve for x
    x = 11,201,720,818.42/113,428.19
  6. Step 6: Final answer
    x = 98,756.06

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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.