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Finding the Fourth Proportional to 560,082.14, 840,123.39 and 139,358.02

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Solution

The fourth proportional to 560,082.14, 840,123.39 and 139,358.02 is: 209,037.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,082.14 : 840,123.39 = 139,358.02 : x
  2. Step 2: Convert to fraction form
    560,082.14/840,123.39 = 139,358.02/x
  3. Step 3: Cross multiply
    560,082.14x = 840,123.39 × 139,358.02
  4. Step 4: Simplify right side
    560,082.14x = 117,077,927,288.68
  5. Step 5: Solve for x
    x = 117,077,927,288.68/560,082.14
  6. Step 6: Final answer
    x = 209,037.07

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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.