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Finding the Fourth Proportional to 191,878.47, 287,914.91 and 129,417.75

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Solution

The fourth proportional to 191,878.47, 287,914.91 and 129,417.75 is: 194,192.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,878.47 : 287,914.91 = 129,417.75 : x
  2. Step 2: Convert to fraction form
    191,878.47/287,914.91 = 129,417.75/x
  3. Step 3: Cross multiply
    191,878.47x = 287,914.91 × 129,417.75
  4. Step 4: Simplify right side
    191,878.47x = 37,261,299,196.56
  5. Step 5: Solve for x
    x = 37,261,299,196.56/191,878.47
  6. Step 6: Final answer
    x = 194,192.18

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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.