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Finding the Fourth Proportional to 211,127.40, 316,745.10 and 148,919.40

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Solution

The fourth proportional to 211,127.40, 316,745.10 and 148,919.40 is: 223,417.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,127.40 : 316,745.10 = 148,919.40 : x
  2. Step 2: Convert to fraction form
    211,127.40/316,745.10 = 148,919.40/x
  3. Step 3: Cross multiply
    211,127.40x = 316,745.10 × 148,919.40
  4. Step 4: Simplify right side
    211,127.40x = 47,169,490,244.94
  5. Step 5: Solve for x
    x = 47,169,490,244.94/211,127.40
  6. Step 6: Final answer
    x = 223,417.19

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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.