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Finding the Fourth Proportional to 78,153.93, 117,199.71 and 28,216.62

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Solution

The fourth proportional to 78,153.93, 117,199.71 and 28,216.62 is: 42,313.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,153.93 : 117,199.71 = 28,216.62 : x
  2. Step 2: Convert to fraction form
    78,153.93/117,199.71 = 28,216.62/x
  3. Step 3: Cross multiply
    78,153.93x = 117,199.71 × 28,216.62
  4. Step 4: Simplify right side
    78,153.93x = 3,306,979,681.18
  5. Step 5: Solve for x
    x = 3,306,979,681.18/78,153.93
  6. Step 6: Final answer
    x = 42,313.67

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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.