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Finding the Fourth Proportional to 159,307.76, 239,069.04 and 65,813.12

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Solution

The fourth proportional to 159,307.76, 239,069.04 and 65,813.12 is: 98,764.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,307.76 : 239,069.04 = 65,813.12 : x
  2. Step 2: Convert to fraction form
    159,307.76/239,069.04 = 65,813.12/x
  3. Step 3: Cross multiply
    159,307.76x = 239,069.04 × 65,813.12
  4. Step 4: Simplify right side
    159,307.76x = 15,733,879,417.80
  5. Step 5: Solve for x
    x = 15,733,879,417.80/159,307.76
  6. Step 6: Final answer
    x = 98,764.05

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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.