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Finding the Fourth Proportional to 211,509.28, 291,881.28 and 116,015.32

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Solution

The fourth proportional to 211,509.28, 291,881.28 and 116,015.32 is: 160,100.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,509.28 : 291,881.28 = 116,015.32 : x
  2. Step 2: Convert to fraction form
    211,509.28/291,881.28 = 116,015.32/x
  3. Step 3: Cross multiply
    211,509.28x = 291,881.28 × 116,015.32
  4. Step 4: Simplify right side
    211,509.28x = 33,862,700,101.21
  5. Step 5: Solve for x
    x = 33,862,700,101.21/211,509.28
  6. Step 6: Final answer
    x = 160,100.30

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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.