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Finding the Fourth Proportional to 201,690.19, 302,510.48 and 51,931.32

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Solution

The fourth proportional to 201,690.19, 302,510.48 and 51,931.32 is: 77,890.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,690.19 : 302,510.48 = 51,931.32 : x
  2. Step 2: Convert to fraction form
    201,690.19/302,510.48 = 51,931.32/x
  3. Step 3: Cross multiply
    201,690.19x = 302,510.48 × 51,931.32
  4. Step 4: Simplify right side
    201,690.19x = 15,709,768,540.23
  5. Step 5: Solve for x
    x = 15,709,768,540.23/201,690.19
  6. Step 6: Final answer
    x = 77,890.59

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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.