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Finding the Fourth Proportional to 153,105.93, 229,628.81 and 145,510.81

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Solution

The fourth proportional to 153,105.93, 229,628.81 and 145,510.81 is: 218,237.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,105.93 : 229,628.81 = 145,510.81 : x
  2. Step 2: Convert to fraction form
    153,105.93/229,628.81 = 145,510.81/x
  3. Step 3: Cross multiply
    153,105.93x = 229,628.81 × 145,510.81
  4. Step 4: Simplify right side
    153,105.93x = 33,413,473,932.14
  5. Step 5: Solve for x
    x = 33,413,473,932.14/153,105.93
  6. Step 6: Final answer
    x = 218,237.62

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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.