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Finding the Fourth Proportional to 71,700, 98,941.32 and 39,867.72

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Solution

The fourth proportional to 71,700, 98,941.32 and 39,867.72 is: 55,014.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,700 : 98,941.32 = 39,867.72 : x
  2. Step 2: Convert to fraction form
    71,700/98,941.32 = 39,867.72/x
  3. Step 3: Cross multiply
    71,700x = 98,941.32 × 39,867.72
  4. Step 4: Simplify right side
    71,700x = 3,944,564,842.19
  5. Step 5: Solve for x
    x = 3,944,564,842.19/71,700
  6. Step 6: Final answer
    x = 55,014.85

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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.