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Finding the Fourth Proportional to 116,307, 160,503.66 and 63,315

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Solution

The fourth proportional to 116,307, 160,503.66 and 63,315 is: 87,374.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,307 : 160,503.66 = 63,315 : x
  2. Step 2: Convert to fraction form
    116,307/160,503.66 = 63,315/x
  3. Step 3: Cross multiply
    116,307x = 160,503.66 × 63,315
  4. Step 4: Simplify right side
    116,307x = 10,162,289,232.90
  5. Step 5: Solve for x
    x = 10,162,289,232.90/116,307
  6. Step 6: Final answer
    x = 87,374.70

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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.