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Finding the Fourth Proportional to 112,698, 169,105.32 and 57,294

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Solution

The fourth proportional to 112,698, 169,105.32 and 57,294 is: 85,970.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,698 : 169,105.32 = 57,294 : x
  2. Step 2: Convert to fraction form
    112,698/169,105.32 = 57,294/x
  3. Step 3: Cross multiply
    112,698x = 169,105.32 × 57,294
  4. Step 4: Simplify right side
    112,698x = 9,688,720,204.08
  5. Step 5: Solve for x
    x = 9,688,720,204.08/112,698
  6. Step 6: Final answer
    x = 85,970.65

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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.