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Finding the Fourth Proportional to 157,242.69, 216,939.56 and 102,826.72

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Solution

The fourth proportional to 157,242.69, 216,939.56 and 102,826.72 is: 141,864.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,242.69 : 216,939.56 = 102,826.72 : x
  2. Step 2: Convert to fraction form
    157,242.69/216,939.56 = 102,826.72/x
  3. Step 3: Cross multiply
    157,242.69x = 216,939.56 × 102,826.72
  4. Step 4: Simplify right side
    157,242.69x = 22,307,183,393.04
  5. Step 5: Solve for x
    x = 22,307,183,393.04/157,242.69
  6. Step 6: Final answer
    x = 141,864.68

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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.