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Finding the Fourth Proportional to 84,162.30, 126,312.30 and 83,506.20

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Solution

The fourth proportional to 84,162.30, 126,312.30 and 83,506.20 is: 125,327.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,162.30 : 126,312.30 = 83,506.20 : x
  2. Step 2: Convert to fraction form
    84,162.30/126,312.30 = 83,506.20/x
  3. Step 3: Cross multiply
    84,162.30x = 126,312.30 × 83,506.20
  4. Step 4: Simplify right side
    84,162.30x = 10,547,860,186.26
  5. Step 5: Solve for x
    x = 10,547,860,186.26/84,162.30
  6. Step 6: Final answer
    x = 125,327.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.