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Finding the Fourth Proportional to 163,031.74, 224,980.95 and 91,411.54

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Solution

The fourth proportional to 163,031.74, 224,980.95 and 91,411.54 is: 126,146.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,031.74 : 224,980.95 = 91,411.54 : x
  2. Step 2: Convert to fraction form
    163,031.74/224,980.95 = 91,411.54/x
  3. Step 3: Cross multiply
    163,031.74x = 224,980.95 × 91,411.54
  4. Step 4: Simplify right side
    163,031.74x = 20,565,855,110.16
  5. Step 5: Solve for x
    x = 20,565,855,110.16/163,031.74
  6. Step 6: Final answer
    x = 126,146.33

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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.