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Finding the Fourth Proportional to 202,127, 278,931.48 and 111,491.42

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Solution

The fourth proportional to 202,127, 278,931.48 and 111,491.42 is: 153,856.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,127 : 278,931.48 = 111,491.42 : x
  2. Step 2: Convert to fraction form
    202,127/278,931.48 = 111,491.42/x
  3. Step 3: Cross multiply
    202,127x = 278,931.48 × 111,491.42
  4. Step 4: Simplify right side
    202,127x = 31,098,466,787.90
  5. Step 5: Solve for x
    x = 31,098,466,787.90/202,127
  6. Step 6: Final answer
    x = 153,856.07

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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.