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Finding the Fourth Proportional to 155,148, 214,104.24 and 84,492

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Solution

The fourth proportional to 155,148, 214,104.24 and 84,492 is: 116,598.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,148 : 214,104.24 = 84,492 : x
  2. Step 2: Convert to fraction form
    155,148/214,104.24 = 84,492/x
  3. Step 3: Cross multiply
    155,148x = 214,104.24 × 84,492
  4. Step 4: Simplify right side
    155,148x = 18,090,095,446.08
  5. Step 5: Solve for x
    x = 18,090,095,446.08/155,148
  6. Step 6: Final answer
    x = 116,598.96

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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.