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Finding the Fourth Proportional to 210,603.20, 316,029.60 and 77,576.96

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Solution

The fourth proportional to 210,603.20, 316,029.60 and 77,576.96 is: 116,411.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,603.20 : 316,029.60 = 77,576.96 : x
  2. Step 2: Convert to fraction form
    210,603.20/316,029.60 = 77,576.96/x
  3. Step 3: Cross multiply
    210,603.20x = 316,029.60 × 77,576.96
  4. Step 4: Simplify right side
    210,603.20x = 24,516,615,638.02
  5. Step 5: Solve for x
    x = 24,516,615,638.02/210,603.20
  6. Step 6: Final answer
    x = 116,411.41

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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.