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Finding the Fourth Proportional to 155,136, 214,087.68 and 84,480

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Solution

The fourth proportional to 155,136, 214,087.68 and 84,480 is: 116,582.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,136 : 214,087.68 = 84,480 : x
  2. Step 2: Convert to fraction form
    155,136/214,087.68 = 84,480/x
  3. Step 3: Cross multiply
    155,136x = 214,087.68 × 84,480
  4. Step 4: Simplify right side
    155,136x = 18,086,127,206.40
  5. Step 5: Solve for x
    x = 18,086,127,206.40/155,136
  6. Step 6: Final answer
    x = 116,582.40

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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.