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Finding the Fourth Proportional to 153,104.50, 211,288.80 and 84,190.40

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Solution

The fourth proportional to 153,104.50, 211,288.80 and 84,190.40 is: 116,185.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,104.50 : 211,288.80 = 84,190.40 : x
  2. Step 2: Convert to fraction form
    153,104.50/211,288.80 = 84,190.40/x
  3. Step 3: Cross multiply
    153,104.50x = 211,288.80 × 84,190.40
  4. Step 4: Simplify right side
    153,104.50x = 17,788,488,587.52
  5. Step 5: Solve for x
    x = 17,788,488,587.52/153,104.50
  6. Step 6: Final answer
    x = 116,185.28

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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.