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Finding the Fourth Proportional to 211,267.60, 316,922.10 and 61,509.40

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Solution

The fourth proportional to 211,267.60, 316,922.10 and 61,509.40 is: 92,270.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,267.60 : 316,922.10 = 61,509.40 : x
  2. Step 2: Convert to fraction form
    211,267.60/316,922.10 = 61,509.40/x
  3. Step 3: Cross multiply
    211,267.60x = 316,922.10 × 61,509.40
  4. Step 4: Simplify right side
    211,267.60x = 19,493,688,217.74
  5. Step 5: Solve for x
    x = 19,493,688,217.74/211,267.60
  6. Step 6: Final answer
    x = 92,270.13

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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.