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Finding the Fourth Proportional to 105,486.76, 145,558.92 and 84,031.15

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Solution

The fourth proportional to 105,486.76, 145,558.92 and 84,031.15 is: 115,952.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,486.76 : 145,558.92 = 84,031.15 : x
  2. Step 2: Convert to fraction form
    105,486.76/145,558.92 = 84,031.15/x
  3. Step 3: Cross multiply
    105,486.76x = 145,558.92 × 84,031.15
  4. Step 4: Simplify right side
    105,486.76x = 12,231,483,440.36
  5. Step 5: Solve for x
    x = 12,231,483,440.36/105,486.76
  6. Step 6: Final answer
    x = 115,952.78

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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.