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Finding the Fourth Proportional to 207,158.19, 310,741.47 and 65,000.49

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Solution

The fourth proportional to 207,158.19, 310,741.47 and 65,000.49 is: 97,502.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,158.19 : 310,741.47 = 65,000.49 : x
  2. Step 2: Convert to fraction form
    207,158.19/310,741.47 = 65,000.49/x
  3. Step 3: Cross multiply
    207,158.19x = 310,741.47 × 65,000.49
  4. Step 4: Simplify right side
    207,158.19x = 20,198,347,813.32
  5. Step 5: Solve for x
    x = 20,198,347,813.32/207,158.19
  6. Step 6: Final answer
    x = 97,502.05

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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.