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Finding the Fourth Proportional to 210,164.60, 290,070.30 and 128,506.82

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Solution

The fourth proportional to 210,164.60, 290,070.30 and 128,506.82 is: 177,365.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,164.60 : 290,070.30 = 128,506.82 : x
  2. Step 2: Convert to fraction form
    210,164.60/290,070.30 = 128,506.82/x
  3. Step 3: Cross multiply
    210,164.60x = 290,070.30 × 128,506.82
  4. Step 4: Simplify right side
    210,164.60x = 37,276,011,829.45
  5. Step 5: Solve for x
    x = 37,276,011,829.45/210,164.60
  6. Step 6: Final answer
    x = 177,365.80

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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.