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Finding the Fourth Proportional to 191,659.92, 286,142.28 and 146,444.64

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Solution

The fourth proportional to 191,659.92, 286,142.28 and 146,444.64 is: 218,637.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,659.92 : 286,142.28 = 146,444.64 : x
  2. Step 2: Convert to fraction form
    191,659.92/286,142.28 = 146,444.64/x
  3. Step 3: Cross multiply
    191,659.92x = 286,142.28 × 146,444.64
  4. Step 4: Simplify right side
    191,659.92x = 41,904,003,183.38
  5. Step 5: Solve for x
    x = 41,904,003,183.38/191,659.92
  6. Step 6: Final answer
    x = 218,637.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.