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Finding the Fourth Proportional to 191,106.80, 286,717.80 and 102,402.80

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Solution

The fourth proportional to 191,106.80, 286,717.80 and 102,402.80 is: 153,635.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,106.80 : 286,717.80 = 102,402.80 : x
  2. Step 2: Convert to fraction form
    191,106.80/286,717.80 = 102,402.80/x
  3. Step 3: Cross multiply
    191,106.80x = 286,717.80 × 102,402.80
  4. Step 4: Simplify right side
    191,106.80x = 29,360,705,529.84
  5. Step 5: Solve for x
    x = 29,360,705,529.84/191,106.80
  6. Step 6: Final answer
    x = 153,635.06

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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.