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Finding the Fourth Proportional to 210,097.50, 289,851.90 and 129,384.90

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Solution

The fourth proportional to 210,097.50, 289,851.90 and 129,384.90 is: 178,500.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,097.50 : 289,851.90 = 129,384.90 : x
  2. Step 2: Convert to fraction form
    210,097.50/289,851.90 = 129,384.90/x
  3. Step 3: Cross multiply
    210,097.50x = 289,851.90 × 129,384.90
  4. Step 4: Simplify right side
    210,097.50x = 37,502,459,096.31
  5. Step 5: Solve for x
    x = 37,502,459,096.31/210,097.50
  6. Step 6: Final answer
    x = 178,500.26

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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.