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Finding the Fourth Proportional to 142,358.16, 196,448.16 and 77,826.20

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Solution

The fourth proportional to 142,358.16, 196,448.16 and 77,826.20 is: 107,396.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,358.16 : 196,448.16 = 77,826.20 : x
  2. Step 2: Convert to fraction form
    142,358.16/196,448.16 = 77,826.20/x
  3. Step 3: Cross multiply
    142,358.16x = 196,448.16 × 77,826.20
  4. Step 4: Simplify right side
    142,358.16x = 15,288,813,298.67
  5. Step 5: Solve for x
    x = 15,288,813,298.67/142,358.16
  6. Step 6: Final answer
    x = 107,396.82

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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.