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Finding the Fourth Proportional to 153,510.38, 210,310 and 147,757.68

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Solution

The fourth proportional to 153,510.38, 210,310 and 147,757.68 is: 202,428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,510.38 : 210,310 = 147,757.68 : x
  2. Step 2: Convert to fraction form
    153,510.38/210,310 = 147,757.68/x
  3. Step 3: Cross multiply
    153,510.38x = 210,310 × 147,757.68
  4. Step 4: Simplify right side
    153,510.38x = 31,074,917,680.80
  5. Step 5: Solve for x
    x = 31,074,917,680.80/153,510.38
  6. Step 6: Final answer
    x = 202,428.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.