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Finding the Fourth Proportional to 113,713.66, 170,395.53 and 66,915.10

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Solution

The fourth proportional to 113,713.66, 170,395.53 and 66,915.10 is: 100,269.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,713.66 : 170,395.53 = 66,915.10 : x
  2. Step 2: Convert to fraction form
    113,713.66/170,395.53 = 66,915.10/x
  3. Step 3: Cross multiply
    113,713.66x = 170,395.53 × 66,915.10
  4. Step 4: Simplify right side
    113,713.66x = 11,402,033,929.50
  5. Step 5: Solve for x
    x = 11,402,033,929.50/113,713.66
  6. Step 6: Final answer
    x = 100,269.69

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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.