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Finding the Fourth Proportional to 201,782.63, 278,460.03 and 116,948.90

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Solution

The fourth proportional to 201,782.63, 278,460.03 and 116,948.90 is: 161,389.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,782.63 : 278,460.03 = 116,948.90 : x
  2. Step 2: Convert to fraction form
    201,782.63/278,460.03 = 116,948.90/x
  3. Step 3: Cross multiply
    201,782.63x = 278,460.03 × 116,948.90
  4. Step 4: Simplify right side
    201,782.63x = 32,565,592,810.17
  5. Step 5: Solve for x
    x = 32,565,592,810.17/201,782.63
  6. Step 6: Final answer
    x = 161,389.48

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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.