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Finding the Fourth Proportional to 210,898.76, 290,931.26 and 142,892.46

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Solution

The fourth proportional to 210,898.76, 290,931.26 and 142,892.46 is: 197,117.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,898.76 : 290,931.26 = 142,892.46 : x
  2. Step 2: Convert to fraction form
    210,898.76/290,931.26 = 142,892.46/x
  3. Step 3: Cross multiply
    210,898.76x = 290,931.26 × 142,892.46
  4. Step 4: Simplify right side
    210,898.76x = 41,571,882,717.84
  5. Step 5: Solve for x
    x = 41,571,882,717.84/210,898.76
  6. Step 6: Final answer
    x = 197,117.72

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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.