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Finding the Fourth Proportional to 189,880.72, 284,821.08 and 77,613.76

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Solution

The fourth proportional to 189,880.72, 284,821.08 and 77,613.76 is: 116,420.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,880.72 : 284,821.08 = 77,613.76 : x
  2. Step 2: Convert to fraction form
    189,880.72/284,821.08 = 77,613.76/x
  3. Step 3: Cross multiply
    189,880.72x = 284,821.08 × 77,613.76
  4. Step 4: Simplify right side
    189,880.72x = 22,106,034,946.06
  5. Step 5: Solve for x
    x = 22,106,034,946.06/189,880.72
  6. Step 6: Final answer
    x = 116,420.64

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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.