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Finding the Fourth Proportional to 136,098, 187,804.56 and 75,664.92

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Solution

The fourth proportional to 136,098, 187,804.56 and 75,664.92 is: 104,411.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,098 : 187,804.56 = 75,664.92 : x
  2. Step 2: Convert to fraction form
    136,098/187,804.56 = 75,664.92/x
  3. Step 3: Cross multiply
    136,098x = 187,804.56 × 75,664.92
  4. Step 4: Simplify right side
    136,098x = 14,210,217,008.04
  5. Step 5: Solve for x
    x = 14,210,217,008.04/136,098
  6. Step 6: Final answer
    x = 104,411.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.