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Finding the Fourth Proportional to 191,385.76, 264,159.24 and 148,280

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Solution

The fourth proportional to 191,385.76, 264,159.24 and 148,280 is: 204,662.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,385.76 : 264,159.24 = 148,280 : x
  2. Step 2: Convert to fraction form
    191,385.76/264,159.24 = 148,280/x
  3. Step 3: Cross multiply
    191,385.76x = 264,159.24 × 148,280
  4. Step 4: Simplify right side
    191,385.76x = 39,169,532,107.20
  5. Step 5: Solve for x
    x = 39,169,532,107.20/191,385.76
  6. Step 6: Final answer
    x = 204,662.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.