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Finding the Fourth Proportional to 211,897.64, 292,347.42 and 120,004.40

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Solution

The fourth proportional to 211,897.64, 292,347.42 and 120,004.40 is: 165,565.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,897.64 : 292,347.42 = 120,004.40 : x
  2. Step 2: Convert to fraction form
    211,897.64/292,347.42 = 120,004.40/x
  3. Step 3: Cross multiply
    211,897.64x = 292,347.42 × 120,004.40
  4. Step 4: Simplify right side
    211,897.64x = 35,082,976,728.65
  5. Step 5: Solve for x
    x = 35,082,976,728.65/211,897.64
  6. Step 6: Final answer
    x = 165,565.68

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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.