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Finding the Fourth Proportional to 163,461.86, 225,678 and 129,607.10

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Solution

The fourth proportional to 163,461.86, 225,678 and 129,607.10 is: 178,937.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,461.86 : 225,678 = 129,607.10 : x
  2. Step 2: Convert to fraction form
    163,461.86/225,678 = 129,607.10/x
  3. Step 3: Cross multiply
    163,461.86x = 225,678 × 129,607.10
  4. Step 4: Simplify right side
    163,461.86x = 29,249,471,113.80
  5. Step 5: Solve for x
    x = 29,249,471,113.80/163,461.86
  6. Step 6: Final answer
    x = 178,937.59

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1.5x scale

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.