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Finding the Fourth Proportional to 163,034.47, 224,892.03 and 102,509.20

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Solution

The fourth proportional to 163,034.47, 224,892.03 and 102,509.20 is: 141,402.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,034.47 : 224,892.03 = 102,509.20 : x
  2. Step 2: Convert to fraction form
    163,034.47/224,892.03 = 102,509.20/x
  3. Step 3: Cross multiply
    163,034.47x = 224,892.03 × 102,509.20
  4. Step 4: Simplify right side
    163,034.47x = 23,053,502,081.68
  5. Step 5: Solve for x
    x = 23,053,502,081.68/163,034.47
  6. Step 6: Final answer
    x = 141,402.63

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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.