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Finding the Fourth Proportional to 155,774.16, 214,968.40 and 84,154.16

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Solution

The fourth proportional to 155,774.16, 214,968.40 and 84,154.16 is: 116,132.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,774.16 : 214,968.40 = 84,154.16 : x
  2. Step 2: Convert to fraction form
    155,774.16/214,968.40 = 84,154.16/x
  3. Step 3: Cross multiply
    155,774.16x = 214,968.40 × 84,154.16
  4. Step 4: Simplify right side
    155,774.16x = 18,090,485,128.54
  5. Step 5: Solve for x
    x = 18,090,485,128.54/155,774.16
  6. Step 6: Final answer
    x = 116,132.77

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1.5x scale

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.