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Finding the Fourth Proportional to 112,564, 168,904.32 and 57,160

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Solution

The fourth proportional to 112,564, 168,904.32 and 57,160 is: 85,769.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,564 : 168,904.32 = 57,160 : x
  2. Step 2: Convert to fraction form
    112,564/168,904.32 = 57,160/x
  3. Step 3: Cross multiply
    112,564x = 168,904.32 × 57,160
  4. Step 4: Simplify right side
    112,564x = 9,654,570,931.20
  5. Step 5: Solve for x
    x = 9,654,570,931.20/112,564
  6. Step 6: Final answer
    x = 85,769.61

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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.