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Finding the Fourth Proportional to 191,802.32, 287,786.47 and 102,952.07

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Solution

The fourth proportional to 191,802.32, 287,786.47 and 102,952.07 is: 154,472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,802.32 : 287,786.47 = 102,952.07 : x
  2. Step 2: Convert to fraction form
    191,802.32/287,786.47 = 102,952.07/x
  3. Step 3: Cross multiply
    191,802.32x = 287,786.47 × 102,952.07
  4. Step 4: Simplify right side
    191,802.32x = 29,628,212,804.49
  5. Step 5: Solve for x
    x = 29,628,212,804.49/191,802.32
  6. Step 6: Final answer
    x = 154,472.65

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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.