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Finding the Fourth Proportional to 210,671.57, 290,733.65 and 120,031.35

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Solution

The fourth proportional to 210,671.57, 290,733.65 and 120,031.35 is: 165,647.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,671.57 : 290,733.65 = 120,031.35 : x
  2. Step 2: Convert to fraction form
    210,671.57/290,733.65 = 120,031.35/x
  3. Step 3: Cross multiply
    210,671.57x = 290,733.65 × 120,031.35
  4. Step 4: Simplify right side
    210,671.57x = 34,897,151,899.77
  5. Step 5: Solve for x
    x = 34,897,151,899.77/210,671.57
  6. Step 6: Final answer
    x = 165,647.19

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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.