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Finding the Fourth Proportional to 186,320.94, 257,122.92 and 101,438

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Solution

The fourth proportional to 186,320.94, 257,122.92 and 101,438 is: 139,984.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,320.94 : 257,122.92 = 101,438 : x
  2. Step 2: Convert to fraction form
    186,320.94/257,122.92 = 101,438/x
  3. Step 3: Cross multiply
    186,320.94x = 257,122.92 × 101,438
  4. Step 4: Simplify right side
    186,320.94x = 26,082,034,758.96
  5. Step 5: Solve for x
    x = 26,082,034,758.96/186,320.94
  6. Step 6: Final answer
    x = 139,984.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.