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Finding the Fourth Proportional to 155,680, 214,838.64 and 88,612

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Solution

The fourth proportional to 155,680, 214,838.64 and 88,612 is: 122,284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,680 : 214,838.64 = 88,612 : x
  2. Step 2: Convert to fraction form
    155,680/214,838.64 = 88,612/x
  3. Step 3: Cross multiply
    155,680x = 214,838.64 × 88,612
  4. Step 4: Simplify right side
    155,680x = 19,037,281,567.68
  5. Step 5: Solve for x
    x = 19,037,281,567.68/155,680
  6. Step 6: Final answer
    x = 122,284.70

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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.