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Finding the Fourth Proportional to 201,853, 278,557.14 and 112,434.76

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Solution

The fourth proportional to 201,853, 278,557.14 and 112,434.76 is: 155,159.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,853 : 278,557.14 = 112,434.76 : x
  2. Step 2: Convert to fraction form
    201,853/278,557.14 = 112,434.76/x
  3. Step 3: Cross multiply
    201,853x = 278,557.14 × 112,434.76
  4. Step 4: Simplify right side
    201,853x = 31,319,505,182.19
  5. Step 5: Solve for x
    x = 31,319,505,182.19/201,853
  6. Step 6: Final answer
    x = 155,159.97

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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.