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Finding the Fourth Proportional to 210,889.61, 316,334.41 and 53,130.36

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Solution

The fourth proportional to 210,889.61, 316,334.41 and 53,130.36 is: 79,695.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,889.61 : 316,334.41 = 53,130.36 : x
  2. Step 2: Convert to fraction form
    210,889.61/316,334.41 = 53,130.36/x
  3. Step 3: Cross multiply
    210,889.61x = 316,334.41 × 53,130.36
  4. Step 4: Simplify right side
    210,889.61x = 16,806,960,818.04
  5. Step 5: Solve for x
    x = 16,806,960,818.04/210,889.61
  6. Step 6: Final answer
    x = 79,695.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.