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Finding the Fourth Proportional to 78,061.50, 117,092.25 and 28,813.50

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Solution

The fourth proportional to 78,061.50, 117,092.25 and 28,813.50 is: 43,220.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,061.50 : 117,092.25 = 28,813.50 : x
  2. Step 2: Convert to fraction form
    78,061.50/117,092.25 = 28,813.50/x
  3. Step 3: Cross multiply
    78,061.50x = 117,092.25 × 28,813.50
  4. Step 4: Simplify right side
    78,061.50x = 3,373,837,545.38
  5. Step 5: Solve for x
    x = 3,373,837,545.38/78,061.50
  6. Step 6: Final answer
    x = 43,220.25

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1.5x scale

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.