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Finding the Fourth Proportional to 191,044.40, 286,858.20 and 146,721.20

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Solution

The fourth proportional to 191,044.40, 286,858.20 and 146,721.20 is: 220,305.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,044.40 : 286,858.20 = 146,721.20 : x
  2. Step 2: Convert to fraction form
    191,044.40/286,858.20 = 146,721.20/x
  3. Step 3: Cross multiply
    191,044.40x = 286,858.20 × 146,721.20
  4. Step 4: Simplify right side
    191,044.40x = 42,088,179,333.84
  5. Step 5: Solve for x
    x = 42,088,179,333.84/191,044.40
  6. Step 6: Final answer
    x = 220,305.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.