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Finding the Fourth Proportional to 208,000.34, 312,047.18 and 65,854.11

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Solution

The fourth proportional to 208,000.34, 312,047.18 and 65,854.11 is: 98,795.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,000.34 : 312,047.18 = 65,854.11 : x
  2. Step 2: Convert to fraction form
    208,000.34/312,047.18 = 65,854.11/x
  3. Step 3: Cross multiply
    208,000.34x = 312,047.18 × 65,854.11
  4. Step 4: Simplify right side
    208,000.34x = 20,549,589,316.91
  5. Step 5: Solve for x
    x = 20,549,589,316.91/208,000.34
  6. Step 6: Final answer
    x = 98,795.94

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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.