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Finding the Fourth Proportional to 211,699.78, 292,143.91 and 116,200.78

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Solution

The fourth proportional to 211,699.78, 292,143.91 and 116,200.78 is: 160,356.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,699.78 : 292,143.91 = 116,200.78 : x
  2. Step 2: Convert to fraction form
    211,699.78/292,143.91 = 116,200.78/x
  3. Step 3: Cross multiply
    211,699.78x = 292,143.91 × 116,200.78
  4. Step 4: Simplify right side
    211,699.78x = 33,947,350,214.25
  5. Step 5: Solve for x
    x = 33,947,350,214.25/211,699.78
  6. Step 6: Final answer
    x = 160,356.10

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1.5x scale

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.