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Finding the Fourth Proportional to 114,468.32, 157,965.72 and 72,082.64

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Solution

The fourth proportional to 114,468.32, 157,965.72 and 72,082.64 is: 99,473.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,468.32 : 157,965.72 = 72,082.64 : x
  2. Step 2: Convert to fraction form
    114,468.32/157,965.72 = 72,082.64/x
  3. Step 3: Cross multiply
    114,468.32x = 157,965.72 × 72,082.64
  4. Step 4: Simplify right side
    114,468.32x = 11,386,586,127.10
  5. Step 5: Solve for x
    x = 11,386,586,127.10/114,468.32
  6. Step 6: Final answer
    x = 99,473.69

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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.