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Finding the Fourth Proportional to 77,740.50, 116,611.02 and 21,585

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Solution

The fourth proportional to 77,740.50, 116,611.02 and 21,585 is: 32,377.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,740.50 : 116,611.02 = 21,585 : x
  2. Step 2: Convert to fraction form
    77,740.50/116,611.02 = 21,585/x
  3. Step 3: Cross multiply
    77,740.50x = 116,611.02 × 21,585
  4. Step 4: Simplify right side
    77,740.50x = 2,517,048,866.70
  5. Step 5: Solve for x
    x = 2,517,048,866.70/77,740.50
  6. Step 6: Final answer
    x = 32,377.57

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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.